Self-induced stochastic resonance in excitable systems

Physica D: Nonlinear Phenomena

Volumn 210, Issue 3-4, 2005, Pages 227-240

  Muratov, Cyrill B ^a   Vanden Eijnden, Eric ^b   E, Weinan ^c  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b NEW YORK UNIVERSITY   (United States)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Coherence; Excitable systems; Large deviations; Noise controlled; Self induced stochastic resonance

Indexed keywords

ACOUSTIC NOISE; COHERENT LIGHT; RESONANCE; ROBUSTNESS (CONTROL SYSTEMS);

EXCITABLE SYSTEMS; LARGE DEVIATIONS; NOISE-CONTROLLED; SELF-INDUCED STOCHASTIC RESONANCE;

STOCHASTIC CONTROL SYSTEMS;

EID: 25144460267     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.07.014     Document Type: Article

References (15)

1. M.I. Freidlin Quasi-deterministic approximation, metastability and stochastic resonance Physica D 137 2000 333 352
2. M.I. Freidlin On stable oscillations and equilibriums induced by small noise J. Stat. Phys. 103 2001 283 300
3. M.I. Freidlin, and A.D. Wentzell Random Perturbations of Dynamical Systems 1984 Springer-Verlag New York
4. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni Stochastic resonance Rev. Mod. Phys. 70 1998 223 287
5. H. Gang, T. Ditzinger, C.Z. Ning, and H. Haken Stochastic resonance without external periodic force Phys. Rev. Lett. 71 1993 807 810
6. C.W. Gardiner Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences 1985 Springer-Verlag Berlin
7. J. Keener, and J. Sneyd Mathematical Physiology 1998 Springer-Verlag New York
8. B. Lindner, J. Garcia-Ojalvo, A. Neiman, and L. Schimansky-Geier Effects of noise in excitable systems Phys. Rep. 392 2004 321 424
9. A.S. Mikhailov Foundations of Synergetics 1990 Springer-Verlag Berlin
10. C.B. Muratov, and V.V. Osipov Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model Eur. Phys. J. B 22 2001 213 221
11. G. Nicolis, and I. Prigogine Self-Organization in Non-Equilibrium Systems 1977 Wiley Interscience New York
12. V.V. Osipov, and C.B. Muratov Ultrafast traveling spike autosolitons in reaction-diffusion systems Phys. Rev. Lett. 75 1995 338 341
13. A.S. Pikovsky, and J. Kurths Coherence resonance in a noise-driven excitable system Phys. Rev. Lett. 78 1997 775 778
14. T. Wellens, V. Shatokhin, and A. Buchleitner Stochastic resonance Rep. Prog. Phys. 67 2004 45 105
15. M.P. Zorzano, and L. Vázquez Emergence of synchronous oscillations in neural networks excited by noise Physica D 179 2003 105 114