BIFURCATIONS AND TRANSITION TO CHAOS THROUGH 3-DIMENSIONAL TORI

被引：35

作者：

ANISHCHENKO, VS ^{[1
]}

SAFONOVA, MA ^{[1
]}

FEUDEL, U ^{[1
]}

KURTHS, J ^{[1
]}

机构：

[1] UNIV POTSDAM,MAX PLANCK GESELL,ARBEITSGRP NICHTLINEARE DYNAM,D-14415 POTSDAM,GERMANY

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 03期

关键词：

D O I：

10.1142/S0218127494000423

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The breakdown of three-dimensional tori T3 and the transition to chaos are studied numerically in a periodically forced system of two coupled logistic maps. We have shown that for small perturbations the breakdown of T3 possesses the same features as in the T2 case described by the theorem of Afraimovich and Shil'nikov. Remarkably, some indications for a chaotic motion on T3 are found.

引用

页码：595 / 607

页数：13

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