AN INVARIANT MEASURE ARISING IN COMPUTER-SIMULATION OF A CHAOTIC DYNAMICAL SYSTEM

被引：6

作者：

DIAMOND, P ^{[1
]}

KLOEDEN, P ^{[1
]}

POKROVSKII, A ^{[1
]}

机构：

[1] DEAKIN UNIV,DEPT MATH,GEELONG,VIC 3217,AUSTRALIA

来源：

JOURNAL OF NONLINEAR SCIENCE | 1994年 / 4卷 / 01期

关键词：

CHAOS; INVARIANT MEASURE; COMPUTER SIMULATION;

D O I：

10.1007/BF02430627

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

When f(x) = 2x (mod 1) is simulated in a finite discretized space, with random round-off error, the dynamical states can be modeled as belonging to a family of Markov chains. We completely characterize the invariant measure of the discretized dynamics in terms of easily computable stationary measures of the chains.

引用

页码：59 / 68

页数：10

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