Study of The Basic Theory on Random Dynamical System
Jiang Liqun
Abstract
Jiang Liqun
Abstract
In this paper,we research the basic theory of random dynamical system.With the aid of some examples,we get the definition of random dynamical system and random global attractor,and get a multiplicative ergodic theorem of random dynamical system on manifolds.
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In this paper,we research the basic theory of random dynamical system.With the aid of some examples,we get the definition of random dynamical system and random global attractor,and get a multiplicative ergodic theorem of random dynamical system on manifolds.
Key concepts: Random dynamical system, Ergodic theory, Random compact set, Attractor, Dynamical systems theory, Multiplicative function, Measure-preserving dynamical system, Random element