On metastable regimes in stochastic Lamb system

Journal of Mathematical Physics

Volumn 47, Issue 4, 2006, Pages

  Freidlin, M I ^a   Komech, A I ^b,c  

^a Bldg 142   (United States)

^b UNIVERSITY OF VIENNA   (Austria)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646388959     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2189198     Document Type: Article

References (11)

1. Brin, M. and Freidlin, M., " On Stochastic behavior of perturbed Hamiltonian systems., " Ergod. Theory Dyn. Syst. 20, 55-76 (2000).
2. Doob, J. L., Stochastic Processes (Wiley, New York, 1990).
3. Fredlin, M., " Sublimiting distributions and stabilization of solutions of parabolic equations with a small parameter., " Sov. Math. Dokl. 18, 1114-1118 (1977).
4. Freidlin, M., " Quasi-deterministic approximation, metastability and stochastic resonance., " Physica D 137, 333-352 (2000).
5. Freidlin, M. and Weber, M., " Random perturbations of nonlinear oscillators., " Ann. Probab. 26, 925-967 (1998).
6. Freidlin, M. and Wentzell, A., Random Perturbations of Dynamical Systems, 2nd ed. (Springer, New York, 1998).
7. Khasminskii, R., Stochastic Stability of Differential Equations (Sijthoff and Noordhoff, Groningen, 1980).
8. Komech, A. I., " On the stabilization of interaction of a string with a nonlinear oscillator., " Moscow Univ. Math. Bull. (Engl. Transl.) 46, 34-39 (1991).
9. Komech, A. I., " On stabilization of string-nonlinear oscillator interaction., " J. Math. Anal. Appl. 196, 384-409 (1995).
10. Komech, A. I., Lectures on global attractors of Hamilton nonlinear wave equations., Max Planck Institute of Mathematics in Sciences, Lecture Notes 24/2005, Leipzig, 2005.
11. Lamb, H., " On a peculiarity of the wave-system due to the free vibrations of a nucleus in an extended medium., " Proc. London Math. Soc. 32, 208-211 (1900).