ANALYSIS OF A PROCEDURE FOR FINDING NUMERICAL TRAJECTORIES CLOSE TO CHAOTIC SADDLE HYPERBOLIC SETS

被引：22

作者：

NUSSE, HE

YORKE, JA

机构：

[1] University of Maryland, Institute for Physical Science and Technology, Maryland 20742, College Park

[2] University of Maryland, AFOSR, Netherlands Organization for the Advancement of Pure Research (N.W.O.), Maryland 20742, College Park

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1991年 / 11卷

关键词：

D O I：

10.1017/S0143385700006076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In dynamical systems examples are common in which there are regions containing chaotic sets that are not attractors, e.g. systems with horseshoes have such regions. In such dynamical systems one will observe chaotic transients. An important problem is the 'Dynamical Restraint Problem': given a region that contains a chaotic set but contains no attractor, find a chaotic trajectory numerically that remains in the region for an arbitrarily long period of time. We present two procedures ('PIM triple procedures') for finding trajectories which stay extremely close to such chaotic sets for arbitrarily long periods of time.

引用

页码：189 / 208

页数：20

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