Transition to high-dimensional chaos through quasiperiodic motion

被引：25

作者：

Pazó, D ^{[1
]}

Sánchez, E

Matías, MA

机构：

[1] Univ Santiago de Compostela, Fac Fis, Grp Fis No Lineal, E-15706 Santiago De Compostela, Spain

[2] Univ Salamanca, Escuela Tecn Super Ingn Ind, E-37700 Salamanca, Spain

[3] Univ Illes Balears, CSIC, IMEDEA, Inst Mediterraneo Estudios Avanzados, E-07071 Palma de Mallorca, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2001年 / 11卷 / 10期

关键词：

D O I：

10.1142/S0218127401003747

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this contribution we report on a transition to high-dimensional chaos through three-frequency quasiperiodic behavior. The resulting chaotic attractor has a one positive and two null Lyapunov exponents. The transition occurs at the point at which two symmetry related three-dimensional tori merge in a crisis-like bifurcation. The route can be summarized as: 2D torus --> 3D torus --> high-dimensional chaotic attractor.

引用

页码：2683 / 2688

页数：6

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