Chaotic stochastic resonance: Noise-enhanced reconstruction of attractors

Physical Review Letters

Volumn 79, Issue 6, 1997, Pages 1030-1033

  Castro, Rolando ^a   Sauer, Tim ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DATA PROCESSING; DYNAMICS; RANDOM PROCESSES; SIGNAL TO NOISE RATIO; STATE SPACE METHODS; WHITE NOISE;

CHAOTIC STOCHASTIC RESONANCE; NOISE ENHANCED RECONSTRUCTION; SPIKE TRAINS;

RESONANCE;

EID: 0031209669     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.79.1030     Document Type: Article

References (25)

1. N. Packard, J. Crutchfield, J. D. Farmer, and R. Shaw, Phys. Rev. Lett., 45, 712 (1980).
2. J. C. Roux, A. Rossi, S. Bachelart, and C. Vidal, Phys. Lett. A, 77, 391 (1980).
3. J. C. Roux and H. Swinney, in Nonlinear Phenomena in Chemical Dynamics, C. Vidal and A. Pacault (Springer-Verlag, Berlin, 1981)
4. F. Takens, in Dynamical Systems and Turbulence, D. Rand and L. S. Young, Lecture Notes in Math. 898 (Springer-Verlag, Berlin, 1981), p. 366.
5. T. Sauer, J. A. Yorke, and M. Casdagli, J. Stat. Phys., 65, 579-616 (1991).
6. T. Sauer, Phys. Rev. Lett., 72, 3911 (1994).
7. T. Sauer, in Nonlinear Dynamics and Time Series, C. Cutler and D. Kaplan (Amer. Math. Soc., Providence, RI, 1996)
8. W. Bialek, F. Rieke, R. R. de Ruyter van Steveninck, and D. Warland, Science, 252, 1854 (1991).
9. L. Abbott, Quart. Rev. Biophys., 27, 291 (1994).
10. E. Vaadia, I. Haalman, M. Abeles, H. Bergman, Y. Prut, H. Slovin, and A. M. H. J. Aertsen, Nature (London), 373, 5151 (1995).
11. Z. Mainen and T. J. Sejnowski, Science, 268, 1503 (1995).
12. K. Weisenfeld and F. Moss, Nature (London), 373, 33 (1995).
13. F. Moss, A. Bulsara, and M. F. Schlesinger [J. Stat. Phys., 70 (1993)].
14. A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett., 67, 656 (1991).
15. J. J. Collins, C. C. Chow, and T. T. Imhoff, Phys. Rev. E, 52, R3321 (1995).
16. R. Castro and T. Sauer, Phys. Rev. E, 55, 287(1997).
17. D. Racicot and A. Longtin, Physica (Amsterdam), 104D, 184 (1997).
18. R. FitzHugh, Biophys. J., 1, 445 (1961).
19. J. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE, 50, 2061 (1962).
20. E. Lorenz, J. Atmos. Sci., 20, 131 (1963).
21. R. Manella and V. Palleschi, Phys. Rev. A, 40, 3381 (1989).
22. O. E. Rössler, Phys. Lett., 57A, 397 (1976).
23. T. Chang, T. Sauer, and S. J. Schiff, Integrative Physiological and Behavioral Science, 29, 246–261 (1994).
24. J. Theiler, S. Eubank, A. Longtin, B. Galdrakian, and J. D. Farmer, Physica (Amsterdam), 58D, 77 (1992).
25. H. A. Kramers, Physica (Utrecht), 7, 284 (1940).