Harmonic oscillator with multiplicative noise: Nonmonotonic dependence on the strength and the rate of dichotomous noise

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 5 2, 2003, Pages

  Gitterman, M ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICS; GAUSSIAN NOISE (ELECTRONIC); LINEAR SYSTEMS; MARKOV PROCESSES; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; RANDOM PROCESSES; WHITE NOISE;

DICHOTOMOUS NOISE; HARMONIC OSCILLATOR; MULTIPLICATIVE NOISE; NONMONOTONIC DEPENDENCE; STOCHASTIC RESONANCE; UNDAMPED LINEAR OSCILLATOR;

PHYSICS;

EID: 37649031051     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. R. Benzi, S. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981)
2. C. Nicolis, Tellus 34, 1 (1982).
3. L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
4. M. Gitterman, Eur. J. Phys. 23, 119 (2002).
5. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer, Berlin 1984).
6. P. Hanggi and R. Bartussec, Lecture Notes in Physics (Springer, Berlin 1996), Vol. 476, p. 294.
7. J.M.R. Parrondo, C. Van den Broeck, and F.J. de la Rubia, Physica A 224, 153 (1996).
8. P. Jung and P. Talkner, Phys. Rev. E 51, 2640 (1995).
9. M. Lucke and F. Schank, Phys. Rev. Lett. 54, 1465 (1985).
10. I. Dayan, M. Gitterman, and G.H. Weiss, Phys. Rev. A 46, 757 (1992).
11. S.L. Ginzburg and M.A. Pustovoit, Phys. Rev. Lett. 80, 4840 (1998).
12. C.R. Doering and J.C. Gadoua, Phys. Rev. Lett. 69, 2318 (1992).
13. F. Marchesoni, Phys. Lett. A 237, 126 (1998).
14. D.W. Brown, L. Bernstein, and K. Lindenberg, Phys. Rev. E 54, 3352 (1996).
15. G. Nicolis and I. Prigogine, Self-Organization in Non-Equilibrium Systems (Wiley, New York, 1977).
16. J.E. Fletcher, S. Havlin, and G.H. Weiss, J. Stat. Phys. 51, 215 (1988).
17. P. Reimann and P. Hanggi, Lecture Notes in Physics (Springer, Berlin, 1997), Vol. 484, p. 127.
18. C. Zhou and C-H. Lai, Phys. Rev. E 59, R6243 (1999).
19. S. Sinha, Physica A 270, 204 (1999).
20. H. Gang, T. Ditzinger, C.Z. Ning, and H. Haken, Phys. Rev. Lett. 71, 807 (1993)
21. J.L. Cabrera, J. Corronogoitia, and F.J. de la Rubia, ibid 82, 2816 (1999).
22. J.J. Collins, C.C. Chow, A.C. Capela, and T.T. Imhoff, Phys. Rev. E 54, 5575 (1996).
23. A. Fulinski, Phys. Rev. E 52, 4523 (1995).
24. V. Berdichevsky and M. Gitterman, Europhys. Lett. 36, 161 (1996).
25. A. V. Barzykin and K. Seki, Europhys. Lett. 40, 117 (1997).
26. V. Bezak, Czech. J. Phys. 48, 529 (1998).
27. A.V. Barzykin, K. Seki, and F. Shibata, Phys. Rev. E 57, 6555 (1998).
28. L. Alfonsi, L. Gammaitoni, S. Santucci, and A.R. Bulsara, Phys. Rev. E 62, 299 (2000).
29. A. Fulinski and P.F. Gora, J. Stat. Phys. 101, 483 (2000).
30. S.C. Venkataramani, T.M. Antonsen, Jr., E. Ott, and J.C. Sommerer, Physica D 96, 66 (1996).
31. S.Q. Zhu, Phys. Rev. A 45, 8148 (1992).
32. J.M. Deutsch, Physica A 208, 445 (1994).
33. M. Turelli, Theoretical Population Biology (Academic, New York, 1977), Vol. 12, p. 140.
34. A-H. Sato and H. Takayasu, Physica A 250, 231 (1998).
35. K. Furutsu, J. Res. Natl. Bur. Stand., Sect. D 67, 303 (1963)
36. E.A. Novikov, Sov. Phys. JETP 20, 1290 (1965).
37. Y.E. Shapiro and V.M. Logunov, Physica A 91, 563 (1978).
38. K. Mallick and P. Marcq, Phys. Rev. E 66, 041113 (2002).
39. M. F. Dimentberg, Nonlinear Stochastic Problems of Mechanical Oscillations (Nauka, Moscow, 1980), in Russian.
40. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
41. V. Berdichevsky and M. Gitterman, Phys. Rev. E 60, 1494 (1999).