COLLAPSING EFFECTS IN NUMERICAL-SIMULATION OF A CLASS OF CHAOTIC DYNAMICAL-SYSTEMS AND RANDOM MAPPINGS WITH A SINGLE ATTRACTING CENTER

被引：28

作者：

DIAMOND, P

KLOEDEN, P

POKROVSKII, A

VLADIMIROV, A

机构：

[1] DEAKIN UNIV,SCH COMP & MATH,GEELONG,VIC 3217,AUSTRALIA

[2] RUSSIAN ACAD SCI,INST INFORMAT TRANSMISS PROBLEMS,MOSCOW,RUSSIA

来源：

PHYSICA D | 1995年 / 86卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1016/0167-2789(95)00188-A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Computer simulations of dynamical systems contain discretizations, where finite machine arithmetic replaces continuum state spaces. In some circumstances, complicated theoretical behaviour has a tendency to collapse to trivial and degenerate behaviour as a result of discretizations. Characteristics of such collapsing effects often seem to depend on the corresponding discretization only in a random way. We describe a procedure to construct a stochastic process with similar statistical characteristics. Results of computer modelling are discussed.

引用

页码：559 / 571

页数：13

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