Structural stability of linear random dynamical systems

Ergodic Theory and Dynamical Systems

Volumn 16, Issue 6, 1996, Pages 1207-1220

  Cong, Nguyen Dinh ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039120839     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700009998     Document Type: Article

References (11)

1. L. Arnold. Random Dynamical Systems. Preliminary version 2, Bremen, 1994.
2. L. Arnold and H. Crauel. Random dynamical systems. Lyapunov Exponents, Oberwolfach 1990 (Lecture Notes in Mathematics 1486). Eds L. Arnold, H. Crauel and J.-P. Eckmann. Springer, Berlin, 1991, pp. 1-22.
3. P. Boxler. A stochastic version of center manifold theory. Probab. Th. Rel. Fields 83 (1989), 509-545.
4. Nguyen Dinh Cong. Topological classification of linear hyperbolic cocycles. J. Dyn. Differential Equations. To appear.
5. V. M. Gundlach. Random homoclinic orbits. Random & Computational Dynamics 3 (1995), 1-33.
6. M. C. Irwin. Smooth Dynamical Systems. Academic, London, 1980.
7. R. A. Johnson. Remarks on linear differential systems with measurable coefficients. Proc. Amer. Math. Soc. 100 (1987), 491-504.
8. O. Knill. The upper Lyapunov exponent of S1(2,R) cocycles: discontinuity and the problem of positivity. Lyapunov Exponents, Oberwolfach 1990 (Lecture Notes in Mathematics 1486). Eds L. Arnold, H. Crauel and J.-P. Eckmann. Springer, Berlin, 1991, pp. 86-97.
9. V. I. Oseledets. A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19 (1968), 197-231.
10. K. J. Palmer. Exponential dichotomies, the shadowing lemma and transversal homoclinic points. Dynamics Reported 1 (1988), 265-306.
11. J. W. Robbin. Topological conjugacy and structural stability for discrete dynamical systems. Bull. Amer. Math. Soc. 78 (1972), 923-952.