UNIVERSAL BIFURCATION PROPERTY OF 2-DIMENSIONAL OR HIGHER-DIMENSIONAL DISSIPATIVE SYSTEMS IN PARAMETER SPACE - WHY DOES 1D SYMBOLIC DYNAMICS WORK SO WELL

被引：5

作者：

FANG, HP

机构：

[1] CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA

[2] CHINESE ACAD SCI,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 14期

关键词：

D O I：

10.1088/0305-4470/28/14/011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The universal bifurcation property of the Henon map in parameter space is studied with symbolic dynamics. The universal-L region is defined to characterize the bifurcation universality. it is found that the universal-L region for relatively small L is not restricted to very small b values. These results show that the fact that universal sequences with short period can be found in many nonlinear dissipative systems is also a universal phenomenon.

引用

页码：3901 / 3910

页数：10