Strong Morse-Lyapunov functions for Morse decompositions of attractors of random dynamical systems

摘要

In this paper, we first construct strong Lyapunov functions for random attractors. On this basis, we then establish strong Morse-Lyapunov functions for Morse decompositions of the random attractors. Finally, the stability of the Morse decompositions is studied through the Morse-Lyapunov functions.