Noise-induced stabilization of one-dimensional discontinuous maps

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

Volumn 58, Issue 3, 1998, Pages 3036-3044

  Wackerbauer, Renate ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; MATHEMATICAL TECHNIQUES; PERTURBATION TECHNIQUES; PIECEWISE LINEAR TECHNIQUES; SPURIOUS SIGNAL NOISE; SWITCHING;

DISCONTINUOUS MAPS; LORENZ ATTRACTOR; NOISE INDUCED STABILIZATION;

SYSTEM STABILITY;

EID: 0032158376     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.3036     Document Type: Article

References (25)

1. G. Mayer-Kress and H. Haken, J. Stat. Phys. 26, 149 (1981).JSTPBS
2. I.I. Fedchenia, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, Phys. Rev. A 46, 1769 (1992).PLRAAN
3. S. Rajasekar, Phys. Rev. E 51, 775 (1995).PLEEE8
4. J. Stat. Phys. 70 (1993), special issue on stochastic resonance, edited by A. Bulsara, P. Hänggi, F. Marchesoni, F. Moss, and M. Shlesinger.
5. V.A. Shneidman, P. Jung, and P. Hänggi, Phys. Rev. Lett. 72, 2682 (1994).PRLTAO
6. G. Malescio, Phys. Lett. A 218, 25 (1996).PYLAAG
7. L. Jaeger and H. Kantz, Physica D 105, 79 (1997).PDNPDT
8. E.N. Lorenz, J. Atmos. Sci. 20, 130 (1963).JAHSAK
9. F. Aicardi and A. Borsellino, Biol. Cybern. 55, 377 (1987).BICYAF
10. R. Wackerbauer, Phys. Rev. E 52, 4745 (1995).PLEEE8
11. R. Wackerbauer (unpublished).
12. C. Sparrow, The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors (Springer, New York, 1974), Vol. 41.
13. H.A. Kramers, Physica 7, 284 (1940).PHYSAG
14. V.M. Alekseev and M.V. Yakobson, Phys. Rep. 75, 287 (1981).PRPLCM
15. R. Wackerbauer, A. Witt, H. Atmanspacher, J. Kurths, and H. Scheingraber, Chaos Solitons Fractals 4, 133 (1994), and references therein.CSFOEH
16. R. Wackerbauer, Max Planck Institute, Report No. MPIPKS/9802009, 1998 (unpublished).
17. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields (Springer, New York, 1983).
18. J.L. Kaplan and J.A. Yorke, Commun. Math. Phys. 67, 93 (1979).CMPHAY
19. A. Witt, A. Neimann, and J. Kurths, Phys. Rev. E 55, 5050 (1997).PLEEE8
20. J.J. Collins, C.C. Chow, A.C. Capela, and T.T. Imhoff, Phys. Rev. E 54, 5575 (1996).PLEEE8
21. V. Anishchenko, A. Neimann, and M. Safanova, J. Stat. Phys. 70, 183 (1993).JSTPBS
22. E. Reibold, W. Just, J. Becker, and H. Benner, Phys. Rev. Lett. 78, 3101 (1997).PRLTAO
23. I. Dayan, M. Gitterman, and G.H. Weiss, Phys. Rev. A 46, 757 (1992).PLRAAN
24. R.N. Mantegna and B. Spagnolo, Phys. Rev. Lett. 76, 563 (1996).PRLTAO
25. F. Apostolico, L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. E 55, 36 (1997). PLEEE8