DOI: 10.1007/bf01053962. Stochastic resonance in chaotic systems

10.1007/bf01053962

Crossref journal-article

Springer Science and Business Media LLC

Journal of Statistical Physics (297)

Bibliography

Anishchenko, V. S., Neiman, A. B., & Safanova, M. A. (1993). Stochastic resonance in chaotic systems. Journal of Statistical Physics, 70(1â2), 183â196.

Authors 3

V. S. Anishchenko (first)
A. B. Neiman (additional)
M. A. Safanova (additional)

References 34 Referenced 110

D. V. Turaev, L. P. Shilnikov, and S. V. Gonchenko, On models with non-rough Poincaré homoclinic curves,Physica D (1992).
L. P. Shilnikov, Bifurcation theory and turbulence, inNonlinear and Turbulent Processes (Gordon and Breanch, Harward Academic Publishers, New York, 1984), Vol. 2, pp. 1627?1635. / Nonlinear and Turbulent Processes by L. P. Shilnikov (1984)
V. S. Anishchenko,Complicated Oscillations in Simple Systems (Nauka, Moscow, 1990). / Complicated Oscillations in Simple Systems by V. S. Anishchenko (1990)
Yu. Kifer, Attractors via random perturbations,Commun. Math. Phys. 121:445?455 (1989). (10.1007/BF01217733) / Commun. Math. Phys. by Yu. Kifer (1989)
A. R. Bulsara, W. C. Schieve, and E. W. Jacobs, Homoclinic chaos in systems perturbed by weak Langevin noise,Phys. Rev. A 41:668?681 (1990). (10.1103/PhysRevA.41.668) / Phys. Rev. A by A. R. Bulsara (1990)
V. S. Anishchenko and A. B. Neiman, Structure and properties of chaos in presence of noise, inNonlinear Dynamics of Structures, R. Z. Sagdeevet al., eds. (World Scientific, Singapore, 1991), pp. 21?48. / Nonlinear Dynamics of Structures by V. S. Anishchenko (1991)
V. S. Anishchenko and M. A. Safonova, Bifurcations of attractors in presence of fluctuations,J. Tech. Phys. Lett. 57:1931?1943 (1987). / J. Tech. Phys. Lett. by V. S. Anishchenko (1987)
W. Horsthemke and R. Lefever,Noise-Induced Transitions. Theory and Applications in Physics, Chemistry and Biology (Springer-Verlag, Berlin, 1984). / Noise-Induced Transitions. Theory and Applications in Physics, Chemistry and Biology by W. Horsthemke (1984)
V. S. Anishchenko and M. A. Safonova, Noise induced exponential extension of phase trajectories in the regular attractors neighborhood,J. Tech. Phys. Lett. 12:740?744 (1986). / J. Tech. Phys. Lett. by V. S. Anishchenko (1986)
W. Ebeling and L. Schimansky-Geier, Transition phenomena in multidimensional system?Models of evolution, inNoise in Nonlinear Dynamical Systems, F. Moss and P. V. E. McClintock, eds. (Cambridge University Press, Cambridge, England, 1989), Vol. 1, pp. 279?304. (10.1017/CBO9780511897818.010) / Noise in Nonlinear Dynamical Systems by W. Ebeling (1989)
V. S. Anishchenko and A. B. Neiman, Noise induced transition in Lorenz model,J. Tech. Phys. Lett. 17:43?47 (1990). / J. Tech. Phys. Lett. by V. S. Anishchenko (1990)
R. Benzi, A. Sutera, and A. Vulpiani, The mechanism of stochastic resonance,J. Phys. 14A:L453-L457 (1981). / J. Phys. by R. Benzi (1981)
S. Fauve and F. Heslot, Stochastic resonance in a bistable system,Phys. Lett. 97A:5?8 (1983). (10.1016/0375-9601(83)90086-5) / Phys. Lett. by S. Fauve (1983)
B. McNamara, K. Wiesenfeld, and R. Roy, Observation of stochastic resonance in a ring laser,Phys. Rev. Lett. 60:2625?2629 (1988). (10.1103/PhysRevLett.60.2626) / Phys. Rev. Lett. by B. McNamara (1988)
B. McNamara and K. Wiesenfeld, Theory of stochastic resonance,Phys. Rev. 39A:4854?4869 (1989). (10.1103/PhysRevA.39.4854) / Phys. Rev. by B. McNamara (1989)
P. Jung and P. Hanggi, Stochastic nonlinear dynamics modulated by external periodic forces,Europhys. Lett. 8:505?511 (1989). (10.1209/0295-5075/8/6/003) / Europhys. Lett. by P. Jung (1989)
C. Presila, F. Marchesoni, and L. Gammaitoni, Periodically time-modulated bistable systems: Nonstationary statistical properties,Phys. Rev. 40A:2105?2113 (1989). (10.1103/PhysRevA.40.2105) / Phys. Rev. by C. Presila (1989)
P. Jung and P. Hanggi, Resonantly driven Brownian motions: Basic conceptions and exact results,Phys. Rev. 41A:2977?2988 (1990). (10.1103/PhysRevA.41.2977) / Phys. Rev. by P. Jung (1990)
T. Zhou, F. Moss, and P. Jung, Escape-time distributions of a periodically modulated bistable system with noise,Phys. Rev. 42A:3161?3169 (1990). (10.1103/PhysRevA.42.3161) / Phys. Rev. by T. Zhou (1990)
F. Moss, Stochastic resonance, in Rate Processes in Dissipative Systems: 50 Years after Kramers, P. Hanggi and J. Troe, eds.,Ber. Bunsenges. Phys. Chem. (1991). (10.1002/bbpc.19910950314)
F. Moss, Stochastic resonance: From the ice ages to the monkey's ear, Department of Physics, University of Missouri at St. Louis, St. Louis, Missouri (1992). / Stochastic resonance: From the ice ages to the monkey's ear by F. Moss (1992)
H. A. Kramers, Brownian motion in a field of force and the diffusion model of chemical reactions,Physica 7:284?304 (1940). (10.1016/S0031-8914(40)90098-2) / Physica by H. A. Kramers (1940)
F. T. Arecci, R. Badii, and A. Politi, Low-frequency phenomena in dynamical systems with many attractors,Phys. Rev. 29A:1006?1009 (1984). (10.1103/PhysRevA.29.1006) / Phys. Rev. by F. T. Arecci (1984)
V. S. Anishchenko, Interaction of attractors. Intermittency of the chaos-chaos type,J. Tech. Phys. Lett. 10:629?633 (1984). / J. Tech. Phys. Lett. by V. S. Anishchenko (1984)
V. S. Anishchenko and A. B. Neiman, Increasing of correlations time under chaos-chaos intermittency,J. Tech. Phys. Lett. 13:1063?1066 (1987). / J. Tech. Phys. Lett. by V. S. Anishchenko (1987)
G. Schuster,Deterministic Chaos (Physik-Verlag, Weinheim, 1984). / Deterministic Chaos by G. Schuster (1984)
Yu. L. Klimontovich,Wave and Fluctuation Processes in Lasers (Nauka, Moscow, 1974). / Wave and Fluctuation Processes in Lasers by Yu. L. Klimontovich (1974)
H. M. Ito, Ergodicity of randomly perturbed Lorenz model,J. Stat. Phys. 35:151?158 (1984). (10.1007/BF01017371) / J. Stat. Phys. by H. M. Ito (1984)
V. V. Bykov and A. L. Shilnikov, On boundaries of Lorenz attractor existence, inMethods of Qualitative Theory and Bifurcations (Gorky University, Gorky, 1989), pp. 151?159. / Methods of Qualitative Theory and Bifurcations by V. V. Bykov (1989)
V. S. Anishchenko and A. B. Neiman, Dynamical chaos and color noise,J. Tech. Phys. Lett. 16:21?25 (1990). / J. Tech. Phys. Lett. by V. S. Anishchenko (1990)
M. I. Rabinovich, Stochastic oscillation and turbulence,Uspekhi Fiz. Nauk 125:123?168 (1978). (10.3367/UFNr.0125.197805g.0123) / Uspekhi Fiz. Nauk by M. I. Rabinovich (1978)
V. S. Anishchenko,Dynamical Chaos in Physical Systems. Experimental Investigation of Self-Oscillating Circuits (Teubner-Texte, Leipzig, 1989). / Dynamical Chaos in Physical Systems. Experimental Investigation of Self-Oscillating Circuits by V. S. Anishchenko (1989)
L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, and S. Santucci, Stochastic resonance in bistable systems,Phys. Rev. Lett. 62:349?352 (1989). (10.1103/PhysRevLett.62.349) / Phys. Rev. Lett. by L. Gammaitoni (1989)
L. Gammaitoni, E. Menichella-Saetta, S. Santucci, F. Marchesoni, and C. Fresilla, Periodically modulated bistable systems: Stochastic resonance,Phys. Rev. 40A:2114?2119 (1989). (10.1103/PhysRevA.40.2114) / Phys. Rev. by L. Gammaitoni (1989)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 31, 2005, 2:17 a.m.)
Deposited	6 years, 4 months ago (April 29, 2019, 8:50 p.m.)
Indexed	6 days, 20 hours ago (Aug. 26, 2025, 2:34 a.m.)
Issued	32 years, 8 months ago (Jan. 1, 1993)
Published	32 years, 8 months ago (Jan. 1, 1993)
Published Print	32 years, 8 months ago (Jan. 1, 1993)

Funders 0

None

BibTeX

@article{Anishchenko_1993, title={Stochastic resonance in chaotic systems}, volume={70}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/bf01053962}, DOI={10.1007/bf01053962}, number={1–2}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Anishchenko, V. S. and Neiman, A. B. and Safanova, M. A.}, year={1993}, month=jan, pages={183–196} }

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