2006Acta Analysis Functionalis ApplicataRequires access

The Application of Ergodic Sequence to Quantitative Theory of Averaging Methods in Dynamical System

Chuanyi Zhang

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Abstract

In this paper,we mainly study the ergodic sequence and its application.Based on the ergodic functions,we first introduce the definition of ergodic sequence.Then we investigate the ergodic problem in two directions and get some properties of ergodic sequence.Finally we give some quantitative properties of solutions of discrete dynamical system by means of averaging methods.

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What this paper is about

In this paper,we mainly study the ergodic sequence and its application.Based on the ergodic functions,we first introduce the definition of ergodic sequence.Then we investigate the ergodic problem in two directions and get some properties of ergodic sequence.Finally we give some quantitative properties of solutions of discrete dynamical system by means of averaging methods.

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Available abstract

In this paper,we mainly study the ergodic sequence and its application.Based on the ergodic functions,we first introduce the definition of ergodic sequence.Then we investigate the ergodic problem in two directions and get some properties of ergodic sequence.Finally we give some quantitative properties of solutions of discrete dynamical system by means of averaging methods.

Key concepts: Ergodic theory, Stationary ergodic process, Sequence (biology), Mathematics, Dynamical systems theory, Statistical physics, Ergodicity, Applied mathematics

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