Coherence resonance at noisy precursors of bifurcations in nonlinear dynamical systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 1, 1997, Pages 270-273

  Neiman, Alexander ^a   Saparin, Peter I ^a   Stone, Lewi ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001556894     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.270     Document Type: Article

References (23)

1. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A14, L453 (1981); JPHAC5
2. R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus34, 10 (1982).
3. F. Moss, D. Pierson, and D. O’Gorman, Int. J. Bifurc. Chaos4, 1383 (1994);
4. K. Wiesenfeld and F. Moss, Nature (London)373, 33 (1995); NATUAS
5. Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, edited by F. Moss, A. Bulsara, and M. Shlesinger [ J. Stat. Phys. 70, 1 (1992)];
6. Proceedings of the International Workshop on Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, edited by A. Bulsara, S. Chillemi, L. Kiss, P.V.E. McClintock, R. Mannella, F. Marchesoni, K. Nikiolos, and K. Wiesenfeld [ Nuovo Cimento D 17, 1 (1995)].
7. M.I. Dykman and M.A. Krivoglaz, in Sov. Phys. Rev. 5, 265 (1984).
8. S M. Soskin, Physica A155, 401 (1989).PHYADX
9. Hu Gang, T. Ditzinger, C. Ning, and H. Haken, Phys. Rev. Lett.71, 807 (1993); PRLTAO
10. W J. Rappel and S H. Strogatz, Phys. Rev. E50, 3249 (1994).PLEEE8
11. A S. Pikovsky and J. Kurths, Phys. Rev. Lett.78, 775 (1997).PRLTAO
12. K. Wiesenfeld, J. Stat. Phys.38, 1071 (1985).JSTPBS
13. R.L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1967), Vol. 2.
14. M J. Feigenbaum, J. Stat. Phys.19, 25 (1978).JSTPBS
15. J P. Crutchfield, M. Nauenberg, and J. Rudnic, Phys. Rev. Lett.46, 933 (1981); PRLTAO
16. S. Shraiman, C E. Wayne, and P C. Martin, 46, 935 (1981);
17. M J. Feigenbaum and B. Hasslacher, 49, 605 (1982);
18. J P. Crutchfield, J D. Farmer, and B A. Hubermann, Phys. Rep.92, 45 (1982); PRPLCM
19. E.B. Vul, Ya.G. Sinai, and K.M. Khanin, Russ. Math. Surveys 39, 1 (1984).
20. V S. Anishchenko, Dynamical Chaos–Models and Experiments (World Scientific, Singapore, 1995).
21. V I. Arnold, in Nonlinear Waves, edited by A.V. Gaponov-Grechov (Nauka Publisher, Moscow, 1979), pp. 116–130;
22. K. Kaneko, Collapse of Tori and Genesis of Chaos in Dissipative Systems (World Scientific, Singapore, 1986).
23. O.E. Rössler, Phys. Lett. A57, 397 (1976). PYLAAG