TRANSITION TO CHAOS FROM QUASIPERIODIC MOTIONS ON A FOUR-DIMENSIONAL TORUS PERTURBED BY EXTERNAL NOISE

被引：10

作者：

Anishchenko, V. S. ^{[1
]}

Nikolaev, S. M. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov 410026, Russia

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 09期

关键词：

Quasiperiodic oscillations; torus; chaos; Lyapunov exponents spectrum;

D O I：

10.1142/S0218127408021956

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a new autonomous dynamical system of dimension N = 4 that demonstrates the regime of stable two-frequency motions. It is shown that the system of two generators of quasiperiodic oscillations with symmetric coupling can realize motions on four-dimensional torus with resonant structures on it in the form of three- and two-dimensional torus. We show that with increase of noise intensity when the dimension of torus is higher it is destroyed faster.

引用

页码：2733 / 2741

页数：9

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