2012Bulletin of Science and TechnologyRequires access

Study of The Basic Theory on Random Dynamical System

Jiang Liqun

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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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What this paper is about

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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Available 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.

Key concepts: Random dynamical system, Ergodic theory, Random compact set, Attractor, Dynamical systems theory, Multiplicative function, Measure-preserving dynamical system, Random element

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