Stochastic instability of quasi-isolated systems

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

Volumn 65, Issue 5, 2002, Pages

  Yukalov, V I ^a,b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; DYNAMICS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; RANDOM PROCESSES;

DYNAMICAL SYSTEMS; ISOLATED SYSTEMS; RANDOM VARIABLES; SYSTEM DYNAMICS;

ASYMPTOTIC STABILITY;

EID: 41349121739     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.056118     Document Type: Article

References (35)

1. V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations (Princeton University, Princeton, 1960).
2. J. Guckenheimer and P. J. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York, 1986).
3. A. J. Lichtenberg and M. A. Liberman, Regular and Chaotic Dynamics (Springer, New York, 1992).
4. X. Mao, Stability of Stochastic Differential Equations with Respect to Semimartingales (Longman, Harlow, 1991).
5. D. ter Haar, Elements of Statistical Mechanics (Reinehart, New York, 1954).
6. L. D. Landau and E. M. Lifshits, Statistical Mechanics (Pergamon, Oxford, 1958).
7. J. E. Mayer and M. G. Mayer, Statistical Mechanics (Wiley, New York, 1977).
8. O. Penrose, Rep. Prog. Phys. 42, 1937 (1979).
9. V. I. Yukalov, Statistical Green's Functions (Queen's University, Kingston, 1998).
10. W. H. Zurek, Prog. Theor. Phys. 89, 281 (1993).
11. W. H. Zurek and J. P. Paz, Phys. Rev. Lett. 72, 2508 (1994).
12. V. I. Yukalov, Moscow Univ. Phys. Bull. 25, 49 (1970).
13. V. I. Yukalov, Moscow Univ. Phys. Bull. 26, 22 (1971).
14. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University, Princeton, 1955).
15. J. L. Lebowitz, Physica A 263, 516 (1999).
16. G. M. Zaslavsky, Phys. Today 8, 39 (1999).
17. V. I. Yukalov, Physica A 234, 725 (1997).
18. C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1985).
19. R. L. Stratonovich, Nonlinear Nonequilibrium Thermodynamics (Springer, Berlin, 1992).
20. V. I. Yukalov, Phys. Rev. A 56, 5004 (1997).
21. V. I. Yukalov, Laser Phys. 7, 998 (1997).
22. G. M. Zaslavsky and B. A. Niyazov, Phys. Rep. 283, 73 (1997).
23. D. E. Feldman, Int. J. Mod. Phys. B 15, 2945 (2001).
24. A. J. Coleman and V. I. Yukalov, Reduced Density Matrices (Springer, Berlin, 2000).
25. H. Fujisaka, Prog. Theor. Phys. 70, 1264 (1983).
26. P. Grassberger, R. Badii, and A. Politi, J. Stat. Phys. 51, 135 (1988).
27. P. G. Drazin, Nonlinear Systems (Cambridge University, Cambridge, 1994).
28. M. B. Priestly, Nonlinear and Nonstationary Time Series Analysis (Academic, London, 1988).
29. V. I. Yukalov, J. Math. Phys. 32, 1235 (1991).
30. V. I. Yukalov, J. Math. Phys. 33, 3994 (1992).
31. V. I. Yukalov and E. P. Yukalova, Physica A 225, 336 (1996).
32. V. I. Yukalov and E. P. Yukalova, Ann. Phys. (N.Y.) 277, 219 (1999).
33. D. G. Luchinsky, P. McKlintock, and M. I. Dykman, Rep. Prog. Phys. 61, 889 (1998).
34. B. V. Chirikov and O. V. Zhirov, J. Exp. Theor. Phys. 120, 214 (2001).
35. V. I. Yukalov, Phys. Rep. 208, 395 (1991).