Fluctuational phase-flip transitions in parametrically driven oscillators

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

Volumn 57, Issue 5, 1998, Pages 5202-5212

  Dykman, M I ^a   Maloney, C M ^a   Smelyanskiy, V N ^a   Silverstein, M ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243619893     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5202     Document Type: Article

References (37)

1. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, 2nd ed. (Springer, New York, 1992).
2. See R. Landauer, Phys. Today 50 (12), 61 (1997).PHTOAD
3. J. Tan and G. Gabrielse, Phys. Rev. Lett. 67, 3090 (1991)
4. J. TanG. GabrielsePhys. Rev. A 48, 3105 (1993)
5. further analysis of period doubling for a driven trapped electron was performed C. H. Tseng and G. Gabrielse, Appl. Phys. B: Photophys. Laser Chem. 60, 95 (1995).APBOEM
6. T. L. Carroll and L. M. Pecora, Phys. Rev. Lett. 70, 576 (1993)
7. T. L. CarrollL. M. PecoraPhys. Rev. E 47, 3941 (1993).
8. See Nuovo Cimento D 17, (7-8), (1995), special issue on Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, edited by R.
9. A. R. Bulsara, and L. Gammaitoni, Phys. Today 49 (3), 39 (1996).PHTOAD
10. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, London, 1976).
11. Squeezed and Nonclassical Light, edited by P. Tombesi and E. R. Pike (Plenum, New York, 1989).
12. A situation where a system of two driven coupled oscillators displays period doubling and yet possesses detailed balance was considered by J. W. F. Woo and R. Landauer, IEEE J. Quantum Electron. QE7, 435 (1970).IEJQA7
13. For a review, see M. I. Dykman and K. Lindenberg, in Contemporary Problems of Statistical Physics, edited by G. Weiss (SIAM, Philadelphia, 1994), p. 41.
14. R. S. Maier and D. L. Stein, Phys. Rev. Lett. 71, 1783 (1993)
15. R. S. MaierD. L. SteinJ. Stat. Phys. 83, 291 (1996).
16. M. I. Dykman and M. A. Krivoglaz, Zh. Eksp. Teor. Fiz. 77, 60 (1979) [Sov. Phys. JETP 50, 30 (1979)]
17. and in Soviet Scientific Reviews: Physics Reviews, edited by I. M. Khalatnikov (Harwood, New York, 1984), Vol. 5, p. 265.
18. D. Enzer, G. Gabrielse, and L. Lapidus (private communication).
19. M. I. Freidlin and A. D. Wentzell, Random Perturbations in Dynamical Systems (Springer-Verlag, New York, 1984).
20. J. S. Langer, Ann. Phys. (N.Y.) 41, 108 (1967); APNYA6
21. S. Coleman, Phys. Rev. D 15, 2929 (1977).PRVDAQ
22. M. I. Dykman, P. V. E. McClintock, V. N. Smelyanskiy, N. D. Stein, and N. G. Stocks, Phys. Rev. Lett. 68, 2718 (1992)
23. Phys. Rev. Lett.M. I. Dykman, D. G. Luchinsky, P. V. E. McClintock, and V. N. Smelyanskiy, 77, 5229 (1996)
24. D. G. Luchinsky and P. V. E. McClintock, Nature (London) 389, 463 (1997).NATUAS
25. V. A. Chinarov, M. I. Dykman, and V. N. Smelyanskiy, Phys. Rev. E 47, 2448 (1993).PLEEE8
26. M. I. Dykman, D. G. Luchinsky, R. Mannella, P. V. E. McClintock, N. D. Stein, and N. G. Stocks, Phys. Rev. E 49, 1198 (1994).PLEEE8
27. M. I. Dykman, M. M. Millonas, and V. N. Smelyanskiy, Phys. Lett. A 195, 53 (1994).PYLAAG
28. V. Arnold, Ordinary Differential Equations, 3rd ed. (Springer, New York, 1992).
29. M. Mangel, Physica A 97, 597 (1979)
30. Physica AM. Mangel97, 616 (1979)
31. Physica AM. I. Dykman and M. A. Krivoglaz, 104, 480 (1980)
32. R. Graham and T. Tél, Phys. Rev. A 35, 1328 (1987).PLRAAN
33. P. Bryant and K. Wiesenfeld, Phys. Rev. A 33, 2525 (1986)
34. S. T. Vohra, L. Fabiny, and K. Wiesenfeld, Phys. Rev. Lett. 72, 1333 (1994).PRLTAO
35. K. Wiesenfeld, in Noise in Nonlinear Dynamical Systems, edited by F. Moss and P. V. E. McClintock (Cambridge University Press, Cambridge, 1989), Vol. 2, p. 145.
36. H. Kramers, Physica (Amsterdam) 7, 284 (1940).PHYSAG
37. A. P. Dmitriev and M. A. Dyakonov, Zh. Eksp. Teor. Fiz. 90, 1430 (1986) [Sov. Phys. JETP 63, 838 (1986)].SPHJAR