References

1. L. Arnold. Six lectures on random dynamical systems. In R. Johnson, editor, Dynamical Systems, Lecture Notes in Mathematics Vol. 1609, pages 1-43, Springer-Verlag, Berlin, 1995.
   
   
2. L. Arnold. Random Dynamical Systems. Springer-Verlag, Berlin, 1998.
   
   
3. L. Arnold and P. Boxler. Additive noise turns a hyperbolic fixed point into a stationary solution. In L. Arnold, H. Crauel, and J.-P. Eckmann, editors, Lyapunov Exponents, Lecture Notes in Mathematics Vol. 1486, pages 159-164, Springer-Verlag, Berlin, 1991.
   
   
4. L. Arnold and P. Boxler. Stochastic bifurcation: Instructive examples in dimension one. In M. Pinsky and V. Wihstutz, editors, Diffusion processes amd related problems in analysis, Vol. II: Stochastic flows. Progress in Probability Vol. 27, pages 241--256, Birkhäuser, Boston Basel Stuttgart, 1992.
   
   
5. L. Arnold and H. Crauel. Iterated function systems and multiplicative ergodic theory. In M. Pinsky and V. Wihstutz, editors, Diffusion processes and related problems in analysis, Vol. II: Stochastic flows. Progress in Probability Vol. 27, pages 283-305. Birkhäuser, Boston Basel Stuttgart, 1992.
   
   
6. L. Arnold, N. Sri Namachchivaya, and K. R. Schenk-Hoppé. Toward an understanding of stochastic Hopf bifurcation: A case study. International Journal of Bifurcation and Chaos 6:1947-1975, 1996.
   
   
7. L. Arnold and Xu Kedai. Invariant measures for random dynamical systems, and a necessary condition for stochastic bifurcation from a fixed point. Random & Computational Dynamics 2:165-182, 1994.
   
   
8. P. H. Baxendale. Asymptotic behaviour of stochastic flows of diffeomorphisms. In K. Itô and T. Hida, editors, Stochastic processes and their applications. Lecture Notes in Mathematics Vol. 1203, pages 1-19, Springer-Verlag, Berlin, 1986.
   
   
9. R. Brown and L. O. Chua. Clarifying chaos: Examples and counterexamples. International Journal of Bifurcation and Chaos 6:219-249, 1996.
   
   
10. H. Crauel and F. Flandoli. Attractors for random dynamical systems. Probability Theory and Related Fields 100:365-393, 1994.
    
    
11. J. L. Doob. Stochastic Processes. John Wiley & Sons, New York, 1953.
    
    
12. R. M. Dudley. Real Analysis and Probability. Chapman & Hall, New York, 1989.
    
    
13. M. J. Feigenbaum. Quantitative universality for a class of nonlinear transformations. Journal of Statistical Physics 19:25-52, 1978.
    
    
14. J. Gutierrez, A. Iglesias, and M. A. Rodiguez. Logistic map driven by dichotomous noise. Physical Review E 48:2507-2513, 1993.
    
    
15. P. Hall and R. C. L. Wolff. Properties of invariant distributions and Lyapunov exponents for chaotic logistic maps. Journal of the Royal Statistical Society Series B 57:439-452, 1995.
    
    
16. K. Horbacz. Asymptotic stability of dynamical systems with multiplicative perturbations. Annales Polonici Mathematici 50:209-218, 1989.
    
    
17. K. Horbacz. Dynamical systems with multiplicative perturbations. Annales Polonici Mathematici 50:11-26, 1989.
    
    
18. K. Horbacz. Dynamical systems with multiplicative perturbations: the strong convergence of measures. Annales Polonici Mathematici 58:85-93, 1993.
    
    
19. A. Katok and B. Hasselblatt. Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, Cambridge, UK, 1993.
    
    
20. M. Kiwi, B. Hess, M. Markus, and J. Rössler. Periodically and randomly modulated non linear processes. In E. Tirapegui and D. Villarroel, editors, Instabilities and Nonequilibrium Structures II, pages 67-74. Kluwer Academic Publishers, Dordrecht, 1989.
    
    
21. Y. K. Lin and G. Q. Cai. Probabilistic Structural Dynamics: Advanced Theory and Applications. McGraw-Hill, New York, 1995.
    
    
22. S. J. Linz and M. Lücke. Parametric modulation of instabilities of a nonlinear discrete system. Physical Review A 33:2694-2703, 1986.
    
    
23. K. Loskot and R. Rudnicki. Limit theorems for stochastically perturbed dynamical systems. Journal of Applied Probability 32:459-469, 1995.
    
    
24. M.Lücke and Y. Saito. Parametric modulation of instabilities of a nonlinear discrete system. Physics Letters 91A:205-208, 1982.
    
    
25. G. Mayer-Kress and H. Haken. The influence of noise on the logistic model. Journal of Statistical Physics 26:149-171, 1981.
    
    
26. M. Rosenblatt. Markov Processes. Structure and Asymptotic Behavior. Springer-Verlag, New York, 1971.
    
    
27. K. R. Schenk-Hoppé. Bifurcation scenarios of the noisy Duffing-van der Pol oscillator. Nonlinear Dynamics 11:255-274, 1996.
    
    
28. K. R. Schenk-Hoppé. Random Attractors - General Properties, Existence, and Applications to Stochastic Bifurcation Theory. Discrete and Continuous Dynamical Systems 4, 99-130, 1998.
    
    
29. Xu Kedai. Bifurcations of random differential equations in dimension one. Random & Computational Dynamics 1:277-305, 1993.