# List of Publications

- M.I. Dykman and M.A. Krivoglaz, "Classical theory of nonlinear oscillators interacting with a medium",

Physica Status Solidi (b)**48**, pp. 497-512 (1971).[PDF]

- M.I. Dykman and M.A. Krivoglaz, "Classical theory of spectral distribution of singled out nonlinear oscillators at combination frequencies",

Ukrainian Physical Journal**17**, pp. 1971-9 (1972).[PDF] (in Russian)

- M.I. Dykman and M.A. Krivoglaz, "Quantum theory of nonlinear oscillators interacting with the medium",

Zh. Eksp. Teor. Fiz.**64**, pp. 993-1005 (1973)

[ Soviet Physics - JETP**37**, pp. 506-11 (1973)].[PDF]

- M.I. Dykman, "Quantum theory of spectral distribution of isolated nonlinear vibration modes near the combination frequency",

Fiz. Tverd. Tela**15**, pp. 1075-9 (1973)

[ Soviet Physics - Solid State**15**, pp. 735-7 (1973)]. [PDF]

- M.I. Dykman and M.A. Krivoglaz, "On the theory of intensity of the peak of infrared absorption by local and quasilocal vibrations",

Ukrainian Physical Journal**19**, pp. 125-33 (1974).[PDF] (in Russian)

- M.I. Dykman and M.A. Krivoglaz, "Spectral distribution of nonlinear oscillators with nonlinear friction due to a medium",

Physica Status Solidi (b)**68**, pp. 111-23 (1975). [PDF]

- M.I. Dykman, "Theory of nonlinear nonequilibrium oscillators interacting with a medium",

Zh. Eksp. Teor. Fiz.**68**, pp. 2082-94 (1975)

[Soviet Physics - JETP**41**, pp. 1042-8 (1975)].[PDF]

- M.I. Dykman, "Theory of the line profile of the cyclotron resonance of nondegenerate two-dimensional electrons coupled to phonons",

Fiz. Tverd. Tela**17**, pp. 3295-9 (1975)

[ Soviet Physics - Solid State**17**, pp. 2163-5 (1975)].[PDF]

- M.I. Dykman, "Theory of nonequilibrium two-dimensional electrons in quantizing magnetic fields",

Fiz. Tverd. Tela**18**, pp. 429-34 (1976)

[ Soviet Physics - Solid State**18**, pp. 248-52 (1976)].[PDF]

- M.I. Dykman and M.A. Ivanov, "Spectral distribution of resonant localized impurity vibrations at finite temperatures",

Fiz. Tverd. Tela**18**, pp. 720-9 (1976)

[ Soviet Physics - Solid State**18**, pp. 415-20 (1976)].[PDF]

- M.I. Dykman, "Theory of nondegenerate two-dimensional electrons interacting with phonons in quantizing magnetic fields",

Physica Status Solidi (b)**74**, pp. 547-59 (1976).[PDF]

- M.I. Dykman and M.A. Krivoglaz, "Light absorption and scattering by nonlinear local and quasi-local oscillations",

in*Theory of Light Scattering in Solids*, eds. B. Bendow, J.L. Birman and V.M. Agranovich, Plenum, New York, 1976, pp. 119-27.[PDF]

- M.I. Dykman and G.G. Tarasov, "Saturation of absorption and rotation of polarization of radiation by local vibrations in cubic crystals",

Zh. Eksp. Teor. Fiz.**72**, pp. 2246-55 (1977) [PDF].

[ Soviet Physics - JETP**45**, pp. 1181-5 (1977)]. [PDF]

- M.I. Dykman and G.G. Tarasov, "Theory of resonant optical orientation of tunnel centers",

Zh. Eskp. Teor. Fiz.**74**, pp. 1061-75 (1978)

[ Soviet Physics - JETP**47**, pp. 557-64 (1978)].[PDF]

- M.I. Dykman and M.A. Krivoglaz, "Theory of a nonlinear oscillator interacting with a medium",

Preprint**ITF-78-69R**, Kiev, 1978, - 65 p.

- M.I. Dykman and G.G. Tarasov, "Nonlinear optical effects caused by light-induced resonant orientation of tunneling centers",

Optics Communications**26**, pp. 122-6 (1978).[PDF]

- M.I. Dykman, "Heating and cooling of local and quasilocal vibrations by a nonresonance field",

Fiz. Tverd. Tela**20**, pp. 2264-72 (1978)

[ Soviet Physics - Solid State**20**, pp. 1306-11 (1978)].[PDF] A large file in Russian with readable equations [PDF]

- M.I. Dykman, "Theory of cyclotron resonance of two-dimensional electrons interacting with surface and volume phonons",

Physica Status Solidi (b)**88**, pp. 463-75 (1978).[PDF]

- M.I. Dykman and G.G. Tarasov, "Self-induced rotation of the polarization in the resonance absorption region of doped cubic crystals",

Fiz. Tverd. Tela**21**, pp. 371-6 (1979)

[ Soviet Physics - Solid State**21**, pp. 221-4 (1979)] [PDF]

- M.I. Dykman, "Relaxation of impurities in a nonresonant field and phonon amplification",

Fiz. Nizk. Temp.**5**, pp. 186-97 (1979)

[ Soviet J. Low Temp. Phys.**5**, pp. 89-95 (1979)].[PDF]

- M.I. Dykman, M.A. Ivanov, G.G. Tarasov, and A.Yu. Tkhorik, "Spectral distribution of degenerate three-dimensional local and quasilocal vibrations",

Fiz. Tverd. Tela**21**, pp. 1489-96 (1979)

[ Soviet Physics - Solid State**21**, pp. 859-63 (1979)].[PDF]

- M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, G.Yu. Rudko, and G.G. Tarasov, "Self-induced resonant optical rotation in crystals KCl:Li",

Solid State Communications**30**, pp. 133-6 (1979).[PDF]

- M.I. Dykman and M.A. Krivoglaz, "Theory of fluctuational transitions between stable states of a nonlinear oscillator",

Zh. Eksp. Teor. Fiz.**77**, pp. 60-73 (1979)

[ Soviet Physics - JETP**50**, pp. 30-7 (1979)] [PDF]

- M.I. Dykman and L.S. Khazan, "Effect of the interaction between nondegenerate electrons localized in a thin surface layer on the cyclotron resonance and on the magnetoconductance",

Zh. Eksp. Teor. Fiz.**77**, pp. 1488-1502 (1979)

[ Soviet Physics - JETP**50**, pp. 747-53 (1979)] [PDF]

- M.I. Dykman, "Toward the theory of cyclotron resonance of two-dimensional electrons on a liquid helium surface",

Fiz. Nizk. Temp.**6**, pp. 560-6 (1980)

[ Soviet J. Low Temp. Phys.**6**, pp. 268-71 (1980)].[PDF]

- M.I. Dykman, "Cyclotron resonance of two-dimensional electrons forming Wigner crystal",

Solid State Comm.**35**, pp. 753-7 (1980).[PDF]

- M.I. Dykman and M.A. Krivoglaz, "Fluctuations in nonlinear systems near bifurcations corresponding to the appearance of new stable states",

Physica**104 A**, pp. 480-94 (1980).[PDF]

- M.I. Dykman and M.A. Krivoglaz, "Time correlation functions and spectral distributions of the Duffing oscillator in a random force field",

Physica**104 A**, pp. 495-508 (1980).[PDF]

- M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, E.V. Pidlisny, G.Yu. Rudko, and G.G. Tarasov, "Kinetics of self-induced rotation of the plane of polarization of resonant radiation in a KCl:Li
^{+}crystal",

Fiz. Tverd. Tela**23**, pp. 418-23 (1981)

[ Soviet Physics - Solid State**23**, pp. 236-9 (1981)].[PDF]

- M.I. Dykman and G.G. Tarasov, "Nonlinear optical effects in the range of impurity absorption of cubic crystals",

in*Spectroscopy of Molecules and Crystals*, Naukova Dumka, Kiev, v I, pp. 171-8 (1981).

- M.I. Dykman, "Stability of crystals in a random field created by vibrations of the continuum",

Zh. Eksp. Teor. Fiz.**81**, pp. 1377-88 (1981)

[ Soviet Physics - JETP**54**, pp. 731-6 (1981)] [PDF]

- M.P. Lisitsa, M.Ya. Valakh, M.I. Dykman, G.Yu. Rudko, and G.G. Tarasov, "Self-induced optical anisotropy of an impurity cubic crystal",

Izv. AN USSR ser. fiz.**45**, pp. 911-6 (1981)

[ Bull. Acad. Sci. USSR Phys. Ser.**45**, pp. 13-8 (1981)].

- M.I. Dykman, "Damping and frequency shift of phonons of a Wigner crystal interacting with a medium",

Zh. Eksp. Teor. Fiz.**82**, pp. 1318-32 (1982)

[ Soviet Physics - JETP**55**, pp. 766-73 (1982)] [PDF]

- M.I. Dykman, "Cyclotron resonance of a two-dimensional Wigner crystal",

J. Phys. C: Solid State Physics**15**, pp. 7397-7416 (1982) [PDF]. M.I. Dykman, "Theory of cyclotron resonance of two-dimensional electrons forming Wigner crystal", Preprint IMF 12.81, Kiev, 1981 - 44 p.

- M.I. Dykman and G.G. Tarasov, "Self-induced change in the polarization of electromagnetic waves in cubic crystals",

Fiz. Tverd. Tela**24**, pp. 2396-2402 (1982)

[ Soviet Physics - Solid State**24**, pp. 1361-4 (1982)].[PDF]

- M.I. Dykman and G.G. Tarasov, "Dichroic bistability caused by the resonant optical orientation of impurity centers",

Optics Communications**49**, pp. 79-82 (1984).[PDF]

- M.I. Dykman, "Non-Lorentzian power-law absorption on the wings of electron-ripplon resonance peaks",

Fiz. Nizk. Temp.**10**, pp. 453-9 (1984)

[ Soviet J. Low Temp. Phys.**10**, pp. 233-6 (1984)].[PDF]

- M.I. Dykman and G.G. Tarasov, "Optical bistability caused by self-induced anisotropy of light absorption in cubic crystals",

Zh. Eksp. Teor. Fiz.**86**, pp. 2030-43 (1984)

[ Soviet Physics - JETP**59**, pp. 1180-7 (1984)] [PDF]

- M.I. Dykman and M.A. Krivoglaz, "Theory of nonlinear oscillator interacting with a medium",

in*Soviet Physics Reviews*, ed I.M.Khalatnikov, Harwood Academic, New York, vol 5, pp. 265-441 (1984).[PDF] (6.8 MB)

- S.A. Boiko, M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, G.Yu. Rudko, and G.G. Tarasov, "Spectral dependence of the self-induced rotation of the plane of polarization of light in KCl crystals containing F
_{A}(Li) centers",

Fiz. Tverd. Tela**26**, pp. 2888-94 (1984)

[ Soviet Physics - Solid State**26**, pp. 1747-50 (1984)].[PDF]

- M.I. Dykman, S.M. Soskin, and M.A. Krivoglaz, "Spectral distribution of a nonlinear oscillator performing Brownian motion in a double-well potential",

Preprint**IMF 4.84**, Kiev, 1984, - 24 p., and Physica**133 A**, pp. 53-73 (1985).[PDF]

- S.A. Boiko, M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, G.G. Tarasov, and A.M. Shpak, "New nonlinear optical effects in impure cubic crystals",

Quantum Electronics (Kiev)**28**, pp. 24-31 (1985).

- S.A. Boiko, M.I. Dykman, M.P. Lisitsa, V.I. Sidorenko, and G.G. Tarasov, "Variation of resonance-radiation polarization due to self-induced dichroism in a KCl:Li crystal with F
_{A}-centers",

Optics and Spectroscopy**58**, pp. 645-7 (1985).[PDF]

- M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, G.Yu. Rudko, V.I. Sidorenko, and G.G. Tarasov, "The way of the optical control of light polarization",

*USSR Patent*No 1170408 A (1985).

- M.I. Dykman, "Theory of polarizational optical bistability",

Zh. Eksp. Teor. Fiz.**91**, pp. 1573-84 (1986)

[ Soviet Physics - JETP**64**, pp. 927-33 (1986)][PDF]

- M.I. Dykman, "Cyclotron resonance of interacting nondegenerate two-dimensional electrons",

Surface Science**170**, pp. 108-11 (1986).[PDF]

- S.A. Boiko, M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, G.G. Tarasov, and A.M. Shpak, "Self-induced polarization change in resonant radiation in a doped cubic crystal",

Izv. AN USSR ser. fiz.**50**, pp. 286-9 (1986)

[ Bull. Acad. Sci. USSR Phys. Ser.**50**, pp. 74-7 (1986)]. [PDF]

- S.A. Boiko, M.I. Dykman, M.P. Lisitsa, G.G. Tarasov, and A.M. Shpak, "Self-induced changes of polarizational characteristics of resonant radiation in KCl crystals with F
_{A}(Li)-centers",

Ukrainian Physical Journal**31**, pp. 1650-6 (1986).

- S.A. Boiko, M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, G.G. Tarasov, and A.M. Shpak, "Self-induced oscillations of the polarization of light in KCl crystals containing F
_{A}(Li) centers",

Fiz. Tverd. Tela**28**, pp. 2769-73 (1986)

[ Soviet Physics - Solid State**28**, pp. 1550-2 (1986)] [PDF]

- M.P. Lisitsa, S.A. Boiko, M.Ya. Valakh, M.I. Dykman, G.G. Tarasov, and A.M. Shpak, "Influence of random fields on the self-induced oscillations of light polarization in KCl crystals with F
_{A}(Li)-centers",

Ukrainian Physical Journal**31**, pp. 1822-29 (1986).

- S.A. Boiko, A.M. Brodin, M.Ya. Valakh, M.I. Dykman, M.P. Lisitsa, and G.G. Tarasov, "Self-induced change in the polarization of resonance radiation in crystals having F
_{2}centers",

Fiz. Tverd. Tela**29**, pp. 2212-14 (1987)

[ Soviet Physics - Solid State**29**, pp. 1278-9 (1987)]

- M.I. Dykman and G.G. Tarasov, "Dichroic optical bistability in a nonlinear Fabry-Perot interferometer",

Kvant. Electron.**14**, pp. 260-4 (1987)

[ Soviet Journal of Quantum Electronics**17**, pp. 157-9 (1987)][PDF]

- M.I. Dykman and G.G. Tarasov, "Threshold-free optical bistability due to giant nonlinearity of resonance absorption in crystals containing F
_{A}centers",

Kvant. Electron.**14**, pp. 2038-43 (1987)

[ Soviet Journal of Quantum Electronics**17**, pp. 1300-3 (1987)][PDF]

- M.I. Dykman and M.A. Krivoglaz, "Profiles of no-phonon lines of impurity centers interacting with local or quasilocal vibrations",

Fiz. Tverd. Tela**29**, pp. 368-76 (1987)

[ Soviet Physics - Solid State**29**pp. 210-4 (1987)][PDF]

- M.I. Dykman and V.N. Smelyanskiy, "Luminescence of the local vibrations excited in a radiationless electron transition",

Preprint**IF 9**, Kiev, 1987 - 24p.

- M.I. Dykman and G.G. Tarasov, "Amplification of the contrapropagating waves in a nonlinearly-absorping cubic crystal",

Quantum Electronics (Kiev)**32**, pp. 47-53 (1987).

- M.I. Dykman and G.G. Tarasov, "Dichroic optical bistability in a Fabry-Perot cavity containing cubic crystal",

Quantum Electronics (Kiev)**32**, pp. 53-9 (1987).

- M.I. Dykman, R. Mannella, P.V.E. McClintock, Frank Moss, and S.M. Soskin, "Spectral density of fluctuations of a double-well Duffing oscillator driven by white noise",

Phys. Rev. A**37**, pp. 1303-13 (1988).[PDF]

- M.I. Dykman and V.N. Smelyanskiy, "Quantum theory of transitions between stable states of a nonlinear oscillator interacting with a medium in a resonant field",

Zh. Eksp. Teor. Fiz.**94**, pp. 61-74 (1988)

[ Soviet Physics - JETP**67**, pp. 1769-76 (1988)]

[PDF]

- M.I. Dykman, M.A. Krivoglaz, and S.M. Soskin, "Transition probabilities and spectral density of fluctuations of noise-driven bistable systems",

in*Noise in Nonlinear Dynamical Systems*, eds F. Moss and P.V.E. McClintock, Cambridge University Press, Cambridge, vol. 2 pp. 347-80 (1989).

[PDF]

- A.L. Velikovich, M.I. Dykman, and V.A. Makarov, "Bistability, self-oscillation, randomness in the polarizational self-action of light in resonators",

Izv. AN USSR ser. fiz.**53**, pp. 1088-1094 (1989)

[ Bull. Acad. Sci. USSR Phys. Ser.**53**, pp. 62-8 (1989)]

- M.I. Dykman and A.L. Velikovich, "Bistability and self-oscillations in a cavity due to a self-induced optical anisotropy",

Optics Communications**70**, pp. 151-4 (1989).[PDF]

- M.I. Dykman, V.A. Makarov, and A.V. Matveeva, "Range of existence of optical multistability in a resonator with an optically active medium",

Kvant. Electron.**16**, pp. 1391-7 (1989)

[ Soviet Journal of Quantum Electronics**19**, pp. 898-901 (1989)][PDF]

- M.I. Dykman and V.N. Smelyanskiy, "Fluctuational transitions between stable states of a nonlinear oscillator driven by random resonant force",

Phys. Rev. A**41**, pp. 3090-3102 (1990). [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, and N.G. Stocks, "Fluctuation-induced transitions between periodic attractors: Observation of super narrow spectral peaks near a kinetic phase transition",

Phys. Rev. Lett.**65**, pp. 48-51 (1990). [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, and N.G. Stocks, "Stochastic resonance in the linear and nonlinear responses of a bistable system to a periodic field",

Zh. Eksp. Teor. Fiz., Pis'ma**52**, pp. 780-2 (1990)

[ Soviet Physics - JETP Letters**52**, pp. 141-4 (1990)]. [PDF]

- M.I. Dykman, "Large fluctuations and fluctuational transitions in systems driven by colored Gaussian noise: A high-frequency noise",

Phys. Rev. A**42**, pp. 2020-9 (1990). [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, S.M. Soskin, and N.G. Stocks, "Noise-induced narrowing of peaks in the power sprectra of underdamped nonlinear oscillators",

Phys. Rev. A**42**pp. 7041-9 (1990). [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, and N.G. Stocks, "Comment on stochastic resonance in bistable systems",

Phys. Rev. Lett.**65**, p 2606 (1990). [PDF]

- M.I. Dykman and M.A. Ivanov, "Modulation broadening of spectral lines for impurity centers with degenerate levels",

Fiz. Tverd. Tela**32**, pp. 156-62 (1990) [ Sov. Phys. - Solid State**32**, pp. 87-90 (1990)] [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, S.M. Soskin and N.G. Stocks, "Noise-induced spectral narrowing in nonlinear oscillators",

Europhys. Lett.**13**, pp. 691-6 (1990).[PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, S.M. Sosk.in, and N.G. Stocks, "Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials",

Phys. Rev. A**43**, pp. 1701-8 (1990). [PDF]

- M.I. Dykman, G.P. Golubev, D.G. Luchinsky, A.L. Velikovich ,and S.Yu. Tsuprikov, "Fluctuational transitions and related phenomena in a passive all-optical bistable system",

Phys. Rev. A**44**, pp. 2439-49 (1991). [PDF]

- M.I. Dykman, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Quasimonochromatic noise: new features of fluctuations in noise-driven nonlinear systems",

Phys. Rev. Lett.**67**, pp. 933-6 (1991). [PDF]

- M.I. Dykman, A.L. Velikovich, G.P. Golubev, D.G. Luchinsky, and S.V. Tsuprikov, "Stochastic resonance in an all-optical passive bistable system",

Zh. Eksp. Teor. Fiz., Pis'ma**53**, pp. 182-5 (1991)

[ JETP Lett.**53**, pp. 193-7 (1991)]

- J. Frost, P. Fozooni, M.J. Lea, and M.I. Dykman, "Magnetoresistance and many-electron effects in two-dimensional electrons on liquid helium",

Europhys. Lett.**16**, pp. 575-8 (1991).

- M.I. Dykman and Yu. G. Rubo, "Anisotropy of two-photon absorption in cubic direct gap semiconductors",

Phys. Rev. B**45**, pp. 5926-32 (1992). [PDF]

- M.I. Dykman and P.V.E. McClintock, "Power spectra of noise-driven nonlinear systems and stochastic resonance",

Physica D**58**, pp. 10-30 (1992) [PDF]

- M.I. Dykman, P.V.E. McClintock, V.N. Smelyanskiy, N.D. Stein, and N.G. Stocks, "Optimal paths and the pre-history problem for large fluctuations in noise-driven systems",

Phys. Rev. Lett.**68**, pp. 2718-21 (1992). [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, and N.G. Stocks, "Phase shifts in stochastic resonance",

Phys. Rev. Lett.**68**, pp. 2985-8 (1992). [PDF]

- M.I. Dykman, D.G. Luchinsky, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Fluctuation phenomena in a multibranch potential",

Phys. Rev. A**45**, pp. R7678-81 (1992). [PDF]

- M.I. Dykman, D.G. Luchinsky, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Stochastic resonance for periodically modulated noise intensity",

Phys. Rev. A**46**, pp. R1713-16 (1992). [PDF]

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Stochastic resonance: linear response and giant nonlinearity",

J. Stat. Phys.**70**, pp. 463-78 (1993) [PDF]

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Nonconventional stochastic resonance",

J. Stat. Phys.**70**, pp. 479-99 (1993).

- M.I. Dykman, R. Mannella, P.V.E. McClintock, and N.G. Stocks, "Reply to comment on phase shifts in stochastic resonance",

Phys. Rev. Lett.**70**, p. 874 (1993). [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Giant nonlinearity in the low-frequency response of a fluctuating bistable system",

Phys. Rev. E**47**, pp. 1629-32 (1993). [PDF]

- V.A. Chinarov, M.I. Dykman, and V.N. Smelyanskiy,

Dissipative corrections to escape probabilities of thermally nonequilibrium systems",

Phys. Rev. E**47**, pp. 2448-61 (1993). [PDF]

- M.I. Dykman, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Probability distribution and escape rates for systems driven by quasimonochromatic noise",

Phys. Rev. E**47**, pp. 3996-4009 (1993). [PDF]

- M.I. Dykman, M.J. Lea, P. Fozooni, and J. Frost, "Magnetoresistance in 2D electrons on liquid helium: many-electron versus single electron kinetics",

Phys. Rev. Lett.**70**, pp. 3975 - 8 (1993). [PDF]

- M.I. Dykman, X. Chu, J. Ross, "Stationary probability distribution near stable limit cycles far from Hopf bifurcation points",

Phys. Rev. E**48**, pp. 1646 - 54 (1993), [PDF]

erratum: Phys. Rev. E**52**, p. 6916 (1995). [PDF]

- M.I. Dykman, H. Haken, Hu Gang, D.G. Luchinsky, P.V.E. McClintock, C.Z. Ning, N.D. Stein, and N.G. Stocks, "Linear response theory in stochastic resonance",

Phys. Lett. A**180**, pp.332 - 6 (1993) [PDF]

- M.I. Dykman, D.G. Luchinsky, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "High-frequency stochastic resonance",

JETP Lett.**58**, pp. 145 - 151 (1993).

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Simulation of critical phenomena in optical systems",

in*Modern Nonlinear Optics*, ed. by M. Evans and S. Kielich, vol. LXXXV (3) in Advances in Chemical Physics, pp. 265 - 379 (1993).

- M.M. Millonas and M.I. Dykman, "Transport and current reversal in stochastically driven ratchets",

Phys. Lett.**A 185**, pp. 65 - 9 (1994) [PDF]

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Supernarrow spectral peaks and high-frequency stochastic resonance in systems with coexisting periodic attractors",

Phys. Rev. E**49**, pp. 1198 - 1215 (1994). [PDF]

- M.I. Dykman, G.P. Golubev, D.G. Luchinsky, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Noise-enhanced heterodyning in bistable systems",

Phys. Rev. E**49**, pp. 1935 - 42 (1994). [PDF]

- M.I. Dykman, E. Mori, J. Ross, and P. Hunt, "Large fluctuations and optimal paths in chemical kinetics",

J. Chem. Phys.**100**, pp. 5735 - 50 (1994). [PDF]

- M.I. Dykman and K. Lindenberg, "Fluctuations in nonlinear systems driven by colored noise",

in*Contemporary Problems in Statistical Physics*, ed. by G.H.Weiss (SIAM, Philadelphia, 1994), pp. 41 - 101 [PDF]

- M.I. Dykman, M.J. Lea, P. Fozooni, and J. Frost, "Many-electron magnetotransport in 2D electrons on liquid helium",

Physica B**197**, pp. 340 - 6 (1994) [PDF]

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, H.E. Short, N.D. Stein, and N.G. Stocks, "Noise-induced linearization",

Phys. Lett. A**193**, 61-66 (1994).

- M.J. Lea and M.I. Dykman, "Many-electron effects in the magnetoresistivity of a non-degenerate two-dimensional electron gas",

Phil. Mag. B**69**, pp. 1059 - 66 (1994).

- M.I. Dykman, M.M. Millonas, and V.N. Smelyanskiy, "Observable and hidden singular features of large fluctuations in nonequilibrium systems",

Phys. Lett. A**195**, pp. 53 - 8 (1994) [PDF]

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Stochastic resonance and its provenance",

Appl. Nonlinear Dynamics**3**, pp. 56 - 69 (1995).

- M.I. Dykman, T. Horita, and J. Ross, "Statistical distribution and stochastic resonance in a periodically driven chemical system",

J. Chem. Phys.**103**, pp. 966 - 72 (1995). [PDF]

- M.I. Dykman, G.P. Golubev, I.Kh. Kaufman, D.G. Luchinsky, P.V.E. McClintock, and E.A. Zhukov, "Noise-enhanced optical heterodyning in an all-optical bistable system",

Appl. Phys. Lett.**67**, pp. 308 - 10 (1995). [PDF]

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Stochastic resonance in perspective",

Nuov. Cim. D**17**, pp. 661 - 83 (1995). [PDF]

- M.I. Dykman, G.P. Golubev, I.Kh. Kaufman, D.G. Luchinsky, P.V.E. McClintock, and E.A. Zhukov, "Fluctuations, stochastic resonance and noise-protected heterodyning in bistable optical systems",

Nuov. Cim. D**17**, pp. 743 - 54 (1995).

- M.I. Dykman, R. Mannella, P.V.E. McClintock, N.D. Stein, D.G. Luchinsky, and H.E. Short, "Quasi-monochromatic noise in bistable systems: the nature of large occasional fluctuations",

Nuov. Cim. D**17**, pp. 755 - 64 (1995).

- P.J. Richardson, A. Blackburn, K. Djerfi, M.I. Dykman, C. Fang-Yen, P. Fozooni, A. Kristensen, M.J. Lea, and A. Santrich-Badal, "Many-electron magnetoconductivity in 2D electrons on liquid helium",

Surface Science**361 - 362**, pp. 835 - 8 (1996).

- M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, "Stochastic resonance and its precursors",

in*Fluctuations and Order: The New Synthesis*, ed by M.M. Millonas (Springer, N.Y. 1996), pp. 11 - 34.

- N.G. Stocks, N.D. Stein, H.E. Short, R. Mannella, D.G. Luchinsky, P.V.E. McClintock, and M.I. Dykman, "Noise-induced linearization and delinearization",

in*Fluctuations and Order: The New Synthesis*, ed by M.M. Millonas (Springer, N.Y. 1996), pp. 53 - 68.

- M.I. Dykman, M.M. Millonas, and V.N. Smelyanskiy, "Some novel features of nonequilibrium systems",

in*Fluctuations and Order: The New Synthesis*, ed by M.M. Millonas (Springer, N.Y. 1996), pp. 121 - 138.

- P. Fozooni, P.J. Richardson, M.J. Lea M.I. Dykman, C. Fang-Yen, and A. Blackburn, "Internal Forces and the Magnetoconductivity of a Nondegenerate 2D Electron Fluid",

J. Phys: Condensed Matter**8**, pp. L215 - L221 (1996). [PDF]

- M.I. Dykman D.G. Luchinsky, R. Mannella, P.V.E. McClintock, S.M. Soskin, and N.D. Stein, "Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator",

Phys. Rev. E**54**, pp. 2366 - 77 (1996). [PDF]

- M.I. Dykman D.G. Luchinsky, R. Mannella, P.V.E. McClintock, and V.N. Smelyanskiy, "Corrals and critical behavior of distribution of fluctuational paths",

Phys. Rev. Lett.**77**, pp. 5229 - 32 (1996). [PDF]

- A. Blackburn, K. Djerfi, M.I. Dykman, C. Fang-Yen, P. Fozooni, A. Kristensen, M.J. Lea, P.J. Richardson, A. Santrich-Badal, and R.W. van der Heijden, "Magnetotransport of 2D electrons on liquid helium in the fluid and solid phases",

Czech J. of Phys.**46**pp. 3056-62 (1996) (Invited papers of the International Conference on Low Temperature Physics LT-XXI).

- M.I. Dykman, V.N. Smelyanskiy, R.S. Maier, and M. Silverstein, "Singular features of large fluctuations in oscillating chemical systems",

J. Phys. Chem.**100**, pp. 19197 - 209 (1996). [PDF]

- D. R. Chialvo, M.I. Dykman, and M. M. Millonas "Fluctuation-induced transport in a periodic potential: noise versus chaos",

Phys. Rev. Lett.**78**, p. 1605 (1997). [PDF]

- V.N. Smelyanskiy, M.I. Dykman, and R.S. Maier, "Topological Features of Large Fluctuations to the Interior of a Limit Cycle",

Phys. Rev. E**55**, pp. 2369 - 91 (1997). [PDF]

- M.I. Dykman, "Many-electron transport phenomena in nondegenerate 2D electron systems",

in*Two-Dimensional Electron Systems on Helium and Other Substrates*,

ed. by E. Andrei (Kluwer, New York 1997), pp. 89 - 123 [PDF]

- V.N. Smelyanskiy and M.I. Dykman, "Optimal control of large fluctuations",

Phys. Rev. E**55**, pp. 2516 - 21 (1997). [PDF]

- M.I. Dykman, C. Fang-Yen, and M.J. Lea, "Many-electron transport in strongly correlated nondegenerate 2D electron systems",

Phys. Rev. B**55**, pp. 16249 - 72 (1997). [PDF]

- C. Fang-Yen, M.I. Dykman, and M.J. Lea, "Internal forces in nondegenerate 2D electron systems",

Phys. Rev. B**55**, pp. 16272 - 79 (1997). [PDF]

- M.J. Lea, P. Fozooni, A. Kristensen, P.J. Richardson, K. Djerfi, A. Santrich-Badal, M.I. Dykman, C. Fang-Yen, and A. Blackburn, "Magnetoconductivity of two-dimensional electrons on liquid helium: Experiments in the fluid phase",

Phys. Rev. B**55**, pp. 16280 - 95 (1997) [PDF]

- M.I. Dykman and Yuri G. Rubo, ``Bragg-Cherenkov scattering and nonlinear conductivity of a 2D Wigner crystal'',

Phys. Rev. Lett.**78**, pp. 4813 - 6 (1997) [PDF]

- V.N. Smelyanskiy, M.I. Dykman, H. Rabitz, and B.E. Vugmeister, ``Fluctuations, escape, and nucleation in driven systems: logarithmic susceptibility'',

Phys. Rev. Lett.**79**, pp. 3113 - 16 (1997) [PDF]

- M.I. Dykman, H. Rabitz, V.N. Smelyanskiy, and B.E. Vugmeister, ``Resonant directed diffusion in nonadiabatically driven systems'',

Phys. Rev. Lett.**79**, pp. 1178 - 81 (1997)[PDF]

- M.I. Dykman, V.N. Smelyanskiy, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, ``Large fluctuations in periodically driven systems'', Int. J. of Bifurcations and Chaos
**8**, pp. 747 - 54 (1998). [PDF]

- M.J. Lea and M.I. Dykman, ``Magnetotransport in two-dimensional electron fluid and solid on liquid helium'',

Physica B**251**, pp. 628 - 35 (1998) [PDF]

- M.I. Dykman and P.V.E. McClintock, "What can stochastic resonance do?", Nature
**391**, p. 344 (1998) [PDF]

- M.I. Dykman and V.N. Smelyanskiy, ``Distribution of fluctuational paths in noise-driven systems'',

Superlattices and Microstructures**23**, pp. 495 - 504 (1998) [PDF]

- M.I. Dykman, C.M. Maloney, V.N. Smelyanskiy, and M. Silverstein, ``Fluctuational phase-flip transitions in parametrically driven oscillators'',

Phys. Rev. E**57**, pp. 5202 - 32 (1998). [PDF]

- D.G. Luchinsky, P.V.E. McClintock, and M.I. Dykman, ``Analogue studies of nonlinear systems'',

Rep. Progr. Phys.**61**, pp. 889 - 997 (1998). [PDF]

- T. Barabash, M.I. Dykman, P.M. Platzman, and V.N. Smelyanskiy, ``Ripplon-induced tunneling transverse to the magnetic field'',

Phys. Rev. B**58**, pp. R10214 - 7 (1998). [PDF]

- V.N. Smelyanskiy, M.I. Dykman, H. Rabitz, B.E. Vugmeister, S.L. Bernasek, and A.B. Bocarsly, ``Nucleation in periodically driven electrochemical systems'',

J. Chem. Phys.**110**, pp. 11488 - 504 (1999). [PDF]

- V.N. Smelyanskiy, M.I. Dykman, and B. Golding, ``Time oscillations of escape rates in periodically driven systems'',

Phys. Rev. Lett.**82**, pp. 3193 - 7 (1999). [PDF]

- P.M. Platzman and M.I. Dykman, ``Quantum computing with electrons floating on liquid helium'',

Science**284**, pp. 1967 - 9 (1999). [PDF]

- M.I. Dykman and P.V.E. McClintock, ``Stochastic resonance'',

Science Progress**82**, pp. 113 - 34 (1999).

- D.G. Luchinsky, R. Mannella, P.V.E. McClintock, M.I. Dykman, and V.N. Smelyanskiy, ``Thermally activated escape of driven systems: the activation energy'',

J. Phys. A**32**, pp. L371 - 7 (1999). [PDF]

- Lowell I. McCann, Mark Dykman, and Brage Golding, ``Thermally activated transitions in a bistable three-dimensional optical trap'',

Nature**402**, pp. 785 - 7 (1999). [PDF]

- T. Barabash-Sharpee, M.I. Dykman,and P.M. Platzman, ``Tunneling transverse to a magnetic field and its occurrence in correlated 2D electron systems'',

Phys. Rev. Lett.**84**, pp. 2227-2230 (2000). [PDF]

- M.I. Dykman and Brage Golding, ``Controlling large fluctuations: theory and experiment'',

in*Stochastic Processes in Physics, Chemistry, and Biology*, eds. J.A. Freund and T. Poeschel (Springer-Verlag, Berlin 2000), pp. 246 - 258. [PDF]

- M. Arrayas, M.I. Dykman, R. Mannella, P.V.E. McClintock, and N.D. Stein, ``Symmetry-breaking of fluctuation dynamics by noise color'',

Phys. Rev. Lett.**84**, pp. 5470-5473 (2000). [PDF]

- J. Hales, A. Zhukov, R. Roy, and M.I. Dykman, ``Dynamics of Activated Escape, and Its Observation in a Semiconductor Laser'',

Phys. Rev. Lett.**85**, pp. 78-81 (2000). [PDF]

- M.I. Dykman and P.M. Platzman, ``Quantum computing using electrons floating on liquid helium'', Fortschr. Phys.
**48**, pp. 1095-1108 (2000). [PDF]

- M.I. Dykman, T. Sharpee, and P.M. Platzman, ``Enhancement of tunneling from a correlated 2D electron system by a many-electron M\"ossbauer-type recoil in a magnetic field'',

Phys. Rev. Lett.**86**, pp. 2408 - 11 (2001). [PDF]

- F. Kuehnel, L. P. Pryadko, and M.I. Dykman, ``Single electron magneto-conductivity of a nondegenerate 2D electron system in a quantizing magnetic field'', Phys. Rev. B
**63**, pp. 165326 - 39 (2001). [PDF]

- M.I. Dykman and Brage Golding, ``Controlling activated processes", Fluct. Noise Lett.
**1**, pp. C1-C6 (2001). [PDF]

- M.I. Dykman, B. Golding, L.I. McCann, V.N. Smelyanskiy, D.G. Luchinsky, R. Mannella, and P.V.E. McClintock, ``Activated escape of periodically driven systems'', Chaos
**11**, pp. 587 - 594 (2001). [PDF]

- T. Sharpee, M.I. Dykman, and P.M. Platzman, ``Tunneling from a correlated 2D electron system transverse to a magnetic field'',

Phys. Rev. B**64**, pp. 245309-15 (2001). [PDF]

- M.I. Dykman and P.M. Platzman, ``Quantum computing with electrons floating on liquid helium'',

Quantum Information and Computation**1**, pp. 102-107 (2001) [PDF]

- T. Sharpee, M.I. Dykman, and P.M. Platzman, ``Tunneling decay in a magnetic field'',

Phys. Rev. A**65**, pp. 0032122-1-15 (2002) [PDF]

- L.P. Pryadko and M.I. Dykman, ``Many-electron conductivity of a non-degenerate 2D electron liquid in strong magnetic fields'',

Physica B**312-313**, 557-558 (2002) [PDF]

- M.I. Dykman and L.F. Santos, ``Antiresonance and interaction-induced localization in spin and qubit chains with defects'',

J. Phys. A**36**, L561-L566 (2003) [PDF]

- M.I. Dykman, P.M. Platzman, and P. Seddighrad, ``Qubits with electrons on liquid helium'',

Phys. Rev. B**67**, 155402 --1-15 (2003) [PDF]

- M.I. Dykman and L.P. Pryadko, ``Low-frequency conductivity of a nondegenerate two-dimensional electron liquid in strong magnetic fields'',

Phys. Rev. B**67**, 235104 - 1-14 (2003) [PDF]

- L.F. Santos and M.I. Dykman, ``Two-particle localization and antiresonance in disordered spin and qubit chains'',

Phys. Rev. B**68**, 214410 - 1-12 (2003) [PDF]

- M.I. Dykman, B. Golding, and D. Ryvkine, ``Critical exponent crossovers in escape near a bifurcation point'',

Phys. Rev. Lett.**92**, 080602 -- 1-4 (2004) [PDF]

- M.I. Dykman, P.M. Platzman, and P. Seddighrad, ``Electron dynamics in quantum dots on helium surface'',

Physica E**22**, 767-770 (2004) [PDF]

- D. Ryvkine, M.I. Dykman, and B. Golding, ``Scaling and crossovers in activated escape near a bifurcation point'',

Phys. Rev. E**69**, 061102 -- 1-17 (2004) [PDF]

- L.F. Santos, M.I. Dykman, M. Shapiro, and F.M. Izrailev, ``Strong many-particle localization and quantum computing with perpetually coupled qubits'',

Phys. Rev. A**71**, 012317 -- 1-18 (2005) [PDF]

- M.I. Dykman and D. Ryvkine, ``Activated escape of periodically modulated systems",

Phys. Rev. Lett.**94**, 070602 (2005) [PDF]

- M.I. Dykman and M.V. Fistul, ``Multiphoton antiresonance",

Phys. Rev. B**71**, 140508(R) (2005) [PDF]

- M.I. Dykman, L.F. Santos, M. Shapiro, and F.M. Izrailev, ``Quantum computing with perpetually coupled qubits: on-site localization of excitations'',

Quant. Inf. Comput.**5**, 335--349 (2005) [PDF]

- D. Ryvkine and M.I. Dykman, ``Noise-induced escape of periodically modulated systems: From weak to strong modulation",

Phys. Rev. E**72**, 011110 -- 1-15 (2005) [PDF]

- M.I. Dykman, I.B. Schwartz, and M. Shapiro, ``Scaling in activated escape of underdamped systems'',

Phys. Rev. E**72**, 021102 -- 1-8(2005) [PDF]

- M.I. Dykman, L.F. Santos, and M. Shapiro, ``Many-particle confinement by constructed disorder and quantum computing'',

J. Opt. B**7**, S363 -- S370 (2005) [PDF]

- C. Hicke, L.F. Santos, and M. I. Dykman, ``Fault-tolerant Landau-Zener quantum gates'',

Phys. Rev. A**73**, 012342 (2006) [PDF]

- M. Marthaler and M. I. Dykman, ``Switching via quantum activation: A parametrically modulated oscillator,

Phys. Rev. A**73**, 042108 (2006) [PDF]

- D. Ryvkine and M. I. Dykman, ``Pathways of activated escape in periodically modulated systems",

Phys. Rev. E**73**, 061109 (2006) [PDF]

- D. Ryvkine and M. I. Dykman, ``Resonant symmetry lifting in a parametrically modulated oscillator",

Phys. Rev. E**74**, 061118 (2006) [PDF]

- M. I. Dykman, ``Critical exponents in metastable decay via quantum activation",

Phys. Rev. E**75**, 011101 (2007) [PDF]

- Feng Shuang, Herschel Rabitz, and Mark Dykman, ``Foundations for cooperating with control noise in the manipulation of quantum dynamics",

Phys. Rev. E**75**, 021103 (2007) [PDF]

- M. Marthaler and M. I. Dykman, ``Quantum interference in the classically forbidden region: A parametric oscillator",

Phys. Rev. A**76**, 010102(R) (2007) [PDF]

- C. Hicke and M. I. Dykman, ``Multiphoton antiresonance in large-spin systems",

Phys. Rev. B**76**, 054436 (2007) [PDF]

- M. I. Dykman, ``Exponential peak and scaling of work fluctuations in modulated systems",

Phys. Rev. E**77**, 021123 (2008) [PDF]

- H. B. Chan, M. I. Dykman, and C. Stambaugh , ``Paths of fluctuation induced switching",

Phys. Rev. Lett.**100**, 130602 (2008) [PDF]

- C. Hicke and M. I. Dykman, ``Classical dynamics of resonantly modulated large-spin systems",

Phys. Rev. B**78**, 024401 (2008) [PDF]

- M. I. Dykman, I. B. Schwartz, and A. S. Landsman, ``Disease extinction in the presence of random vaccination",

Phys. Rev. Lett.**101**, 078101 (2008) [PDF];

I. B. Schwartz, L. Billings, M. Dykman, and A. Landsman, ``Predicting extinction rates in stochastic epidemic models",

J. Stat. Mech. P01005 (2009) [PDF]

- H. B. Chan, M. I. Dykman, and C. Stambaugh , ``Switching-path distribution in multidimensional systems",

Phys. Rev. E.**78**, 051109 (2008) [PDF]

- L. Billings, M. I. Dykman, and I. B. Schwartz, ``Thermally activated switching in the presence of non-Gaussian noise",

Phys. Rev. E**78**, 051122 (2008) [PDF]

- M. I. Dykman, ``Quantum Measurements with Dynamically Bistable Systems", in
*Applications of Nonlinear Dynamics,*eds. V. In, P. Longhini, and A. Palacios, Springer (Berlin 2009), p.367 [PDF]

- L. Fedichkin, M. Shapiro, and M. I. Dykman, ``Quantum measurements of coupled systems",

Phys. Rev. A**80**, 012114 (2009) [PDF]

- M. Khasin and M. I. Dykman, ``Extinction rate fragility in population dynamics",

Phys. Rev. Lett.**103**, 068101 (2009) [PDF]

- D. Konstantinov, M. I. Dykman, M. J. Lea, Y. Monarkha, and K. Kono, ``Resonant Correlation-Induced Optical Bistability in an Electron System on Liquid Helium",

Phys. Rev. Lett.**103**, 096801 (2009) [PDF]

- M. I. Dykman, ``Swirled by light", Nature (News & Views)
**461**, 1226 (2009) [PDF of an expanded version]

- I. Serban, M. I. Dykman, and F. K. Wilhelm, ``Relaxation of a qubit measured by a driven Duffing oscillator",

Phys. Rev. A**81**, 022305 (2010) [PDF]

- L. Billings, I. B. Schwartz, M. McCrary, A. N. Korotkov, and M. I. Dykman, ``Switching Exponent Scaling near Bifurcation Points for Non-Gaussian Noise",

Phys. Rev. Lett**104**, 140601 (2010) [PDF]

- M. I. Dykman, ``Poisson-noise-induced escape from a metastable state",Phys. Rev. E
**81**, 051124 (2010) [PDF]

- M. Khasin, M. I. Dykman, and B. Meerson, ``Speeding up disease extinction with a limited amount of vaccine",

Phys. Rev. E**81**, 051925 (2010) [PDF]

- D. I. Schuster, A. Fragner, M. I. Dykman, S. A. Lyon, and R. J. Schoelkopf, ``Proposal for manipulating and detecting spin and orbital states of trapped electrons on Helium using cavity quantum electrodynamics",

Phys. Rev. Lett.**105**, 040503 (2010) [PDF]

- M.-S. Heo, Y. Kim, K. Kim, G. Moon, J. Lee, H.-R. Noh, M. I. Dykman, and W. Jhe, ``Ideal mean-field transition in a modulated cold atom system",

Phys. Rev. E**82**, 031134 (2010) [PDF]

- M. I. Dykman, M. Khasin, J. Portman, and S.W. Shaw, ``Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities",

Phys. Rev. Lett.**105**, 230601 (2010) [PDF]

- J. Atalaya, A. Isacsson, and M. I. Dykman, ``Diffusion-induced dephasing in nanomechanical resonators",

Phys. Rev. B**83**, 045419 (2011) [PDF]

- M. Khasin and M. I. Dykman, ``Control of rare events in reaction and population systems by deterministically imposed transitions",

Phys. Rev. E**83**, 031917 (2011) [PDF]

- M. I. Dykman, M. Marthaler, and V. Peano, ``Quantum heating of a parametrically modulated oscillator: Spectral signatures",

Phys. Rev. A**83**, 052115 (2011) [PDF]

- J. Atalaya, A. Isacsson, and M. I. Dykman, ``Diffusion-induced bistability of driven nanomechanical resonators",

Phys. Rev. Lett.**106**, 227202 (2011) [PDF]

- Z. A. Maizelis, M. L. Roukes, and M. I. Dykman, ``Detecting and characterizing frequency fluctuations of vibrational modes",

Phys. Rev. B**84**, 144301 (2011) [PDF]

- D. Konstantinov, M. I. Dykman, M. J. Lea, Yu. P. Monarkha, and K. Kono, ``Bistability and hysteresis of intersubband absorption in strongly interacting electrons on liquid helium",

Phys. Rev. B**85**, 155416 (2012) [PDF]

- A. Ichiki,Y. Tadokoro, and M. I. Dykman, ``Singular response of bistable systems driven by telegraph noise",

Phys. Rev. E**85**, 031106 (2012) [PDF]

- M. I. Dykman, ``Periodically modulated quantum nonlinear oscillators",

in ``*Fluctuating Nonlinear Oscillators. From nanomechanics to quantum superconducting circuits"*, ed. M. I. Dykman (OUP, Oxford 2012), pp. 165--197 [PDF]

- V. Peano, M. Marthaler, and M. I. Dykman, ``Sharp tunneling peaks in a parametric oscillator: Quantum resonances missing in the rotating wave approximation",

Phys. Rev. Lett.**109**, 090401(2012) [PDF]

- Lea F. Santos and M. I. Dykman, ``Quantum interference-induced stability of repulsively bound pairs of excitations",

NJP**14**, 095019 (2012) [PDF]

- J. Zou, S. Buvaev, M. Dykman, and H. B. Chan, ``Poisson noise induced switching in driven micromechanical resonators",

Phys. Rev. B**86**, 155420(2012) [PDF]

- M. I. Dykman and I. B. Schwartz, ``Large rare fluctuations in systems with delayed dissipation",

Phys. Rev. E**86**, 031145(2012) [PDF]

- A. Ichiki, Y. Tadokoro, and M. I. Dykman, ``Singular probability distribution of shot-noise driven systems",

Phys. Rev. E**87**, 012119 (2013) [PDF]

- L. Guo, V. Peano, M. Marthaler, and M. I. Dykman, ``Quantum critical temperature of a modulated oscillator",

Phys. Rev. A**87**, 062117 (2013) [PDF]

- J. Moser, J. Güttinger, A. Eichler, M. J. Esplandiu, D. E. Liu, M. I. Dykman, and A. Bachtold, ``Ultrasensitive force detection with a nanotube mechanical resonator",

Nat. Nanotech.**8**, 493 (2013) ARXIV

- A. Eichler, J. Moser, M. I. Dykman, and A. Bachtold, ``Symmetry breaking in a mechanical resonator made from a carbon nanotube",

Nat. Commun.**4**, 2843 (2013) ARXIV

- V. Peano and M. I. Dykman, ``Quantum fluctuations in modulated nonlinear oscillators",

NJP**16**, 015011 (2014) [PDF]

- Z. Maizelis, M. Rudner, and M. I. Dykman, "Vibration multistability and quantum switching for dispersive coupling",

Phys. Rev. B**89**, 155439 (2014) [PDF]

- J. Moser, A. Eichler, J. Güttinger, M. I. Dykman, and A. Bachtold, ``Nanotube mechanical resonators with quality factors of up to 5 million",

Nat. Nanotech.**9**, 1007 (2014)[PDF]

- Yaxing Zhang, Y. Tadokoro, and M. I. Dykman, ``Fluctuation spectra of weakly driven nonlinear systems",

NJP**16**,113064 (2014) [PDF]

- Yaxing Zhang, J. Moser, J. Güttinger, A. Bachtold, and M. I. Dykman, ``Interplay of Driving and Frequency Noise in the Spectra of Vibrational Systems",

Phys. Rev. Lett.**113**, 255502 (2014) [PDF]

- Ira B. Schwartz, Lora Billings, Thomas W. Carr, and M. I. Dykman, ``Noise-induced switching and extinction in systems with delay",

Phys. Rev. E**91**, 012139 (2015) [PDF]

- Z. R. Lin, Y. Nakamura, and M. I. Dykman, ``Critical fluctuations and the rates of interstate switching near the excitation threshold of a quantum parametric oscillator",

Phys. Rev E**92**, 022105 (2015) [PDF]

- Yaxing Zhang and M. I. Dykman, ``Spectral effects of dispersive mode coupling in driven mesoscopic systems",

Phys. Rev. B.**92**, 165419 (2015) [PDF]

- S. Boixo,V. N. Smelyanskiy, A. Shabani, S. V. Isakov, M. Dykman, V. S. Denchev, M. H. Amin, A. Yu. Smirnov, M. Mohseni, and H. Neven, ``Computational multiqubit tunnelling in programmable quantum annealers",

Nat. Comm.**7**, 10327 (2016) ARXIV

- P. M. Polunin, Y. S. Young, M. I. Dykman, T. W. Kenny, and S. W. Shaw, "Characterization of MEMS Resonator Nonlinearities Using the Ringdown Response", JMEMS
**25**, 297 (2016) [PDF]

- M. I. Dykman, "Viewpoint: Stick-slip motion in a quantum field", Physics
**9**, 54 (2016) [PDF]

- F. Sun, X. Dong, J. Zou, M.I. Dykman, and H.B. Chan, ``Correlated anomalous phase diffusion of coupled phononic modes in a sideband-driven resonator",

Nat. Comm.**7**, 12694 (2016) ARXIV

- Y. Young, E. J. Ng, P. M. Polunin, Y. Chen, I. B. Flader, C. M. Shaw, M. I. Dykman, and T. W. Kenny, "Nonlinearity of Degenerately Doped Bulk-Mode Silicon MEMS Resonators", JMEMS
**25**, 859 (2016) [PDF]

- Juan Atalaya, T. W. Kenny, M. L. Roukes, and M. I. Dykman, ``Nonlinear damping and dephasing in nanomechanical systems",

Phys. Rev. B.**94**, 195440 (2016) [PDF]

- K. Moskovtsev and M. I. Dykman, ``Strong vibration nonlinearity in semiconductor-based nanomechanical systems",

Phys. Rev. B.**95**, 085426 (2017) [PDF]

- V.N. Smelyanskiy, D. Venturelli, A. Perdomo-Ortiz, S. Knysh, and M. I. Dykman, ``Quantum Annealing via Environment-Mediated Quantum Diffusion",

Phys. Rev. Lett.**118**, 066802 (2017) [PDF]

- M. Schecter, M. Shapiro, and M. I. Dykman, ``Localization lifetime of a many-body system with periodic constructed disorder",

Ann. d. Phys.**529**, 1600366 (2017) ARXIV

- Yaxing Zhang and M. I. Dykman, ``Preparing quasienergy states on demand: A parametric oscillator",

Phys. Rev. A.**95**, 053841 (2017) [PDF]

- Yaxing Zhang, J. Gosner, S. M. Girvin, J. Ankerhold, and M. I. Dykman, ``Time-translation-symmetry breaking in a driven oscillator: From the quantum coherent to the incoherent regime",

Phys. Rev. A.**96**, 052124 (2017) [PDF]

- M. I. Dykman, K. Kono, D. Konstantinov, and M. J. Lea, ``Ripplonic Lamb Shift for Electrons on Liquid Helium",

Phys. Rev. Lett.**119**, 256802 (2017) [PDF]

- O. Shoshani, S. W. Shaw, and M. I. Dykman,``Anomalous Decay of Nanomechanical Modes Going Through Nonlinear Resonance",

Sci. Reps.**7**, 18091 (2017) [ARXIV]]

- Claudio Castelnovo, Mark I. Dykman, Vadim N. Smelyanskiy, Roderich Moessner, and Leonid P. Pryadko, ``Dephasing with strings attached",

Phys. Rev. B.**97**, 085121 (2018) [PDF]

- Yukihiro Tadokoro, Hiroya Tanaka, and M. I. Dykman, ``Driven nonlinear nanomechanical resonators as digital signal detectors",

Sci. Reps.**8**, 11284 (2018) [ARXIV]

- X. Dong, M.I. Dykman, and H.B. Chan, ``Strong negative nonlinear friction from induced two-phonon processes in vibrational systems",

Nat. Comm.**9**, 3241 (2018) [ARXIV]

- M. I. Dykman, Christoph Bruder, Niels Loerch, and Yaxing Zhang, "Interaction-induced time-symmetry breaking in driven quantum oscillators",

Phys. Rev. B**98**, 195444 (2018) [PDF]

- K. Moskovtsev and M. I. Dykman,"Self-diffusion in a spatially modulated system of electrons on helium",

JLTP**195**, 266 (2019) [PDF]

- M. I. Dykman, Gianluca Rastelli, M. L. Roukes, and Eva M. Weig, "Resonantly Induced Friction and Frequency Combs in Driven Nanomechanical Systems",

Phys. Rev. Lett.**122**, 254301(2019) [PDF]

- Niels Loerch, Yaxing Zhang, Christoph Bruder, and M. I. Dykman, "Quantum state preparation for coupled period tripling oscillators",

Phys. Rev. Research**1**, 023023 (2019) [PDF]

- M. I. Dykman, "Coherent multiple-period states of periodically modulated qubits",

Phys. Rev. A**100**, 042101 (2019) [PDF]

- Yaxing Zhang and M. I. Dykman, "Nonlocal random walk over Floquet states of a dissipative nonlinear oscillator",

Phys. Rev. E**100**, 052148 (2019) [PDF]

- O. Shoshani, M. I. Dykman, and S. W. Shaw, ``Tuning linear and nonlinear characteristics of a resonator via nonlinear interaction with a secondary resonator",

Nonlin. Dyn.**99**, 433 (2020) [PDF]

- J. S. Huber, G. Rastelli, M. J. Seitner, J. Kölbl, W. Belzig, M. I. Dykman, and E. M. Weig, ``Spectral Evidence of Squeezing of a Weakly Damped Driven Nanomechanical Mode",

Phys. Rev. X**10**, 021066 (2020) [PDF]

- K. Moskovtsev and M. I. Dykman, "Mobility of a spatially modulated electron liquid on the helium surface", Phys. Rev. B
**101**, 245435 (2020) [PDF]

- Yukihiro Tadokoro, Hiroya Tanaka and M. I . Dykman, "Noise-induced switching from a symmetry-protected shallow metastable state", Sci. Rep.
**10**, 10413 (2020) [PDF]