Analysis of two-torus in a new four-dimensional autonomous system

• 来源期刊: 中国物理B（英文版）
• 关键词: two-torus two-frequency quasiperiodicity standard torus Poincaré section Lyapunov exponent
• 年，卷（期）: 2008,（1）
• 页码范围: 129-134
• 页数: 6页
• 语种: 英文

摘要

In this paper,we report the dynamical behaviours of a four-dimensional autonomous continuous dissipative system analysed when the parameter is varied in the range we are interested in.The system changes its dynamical modes between periodic motion and quasiperindic motion.Furthermore,the existence of two-torus is investigated numerically two-torus are observed and proved to have the structure of ring torus and horn torus,both of which are known to be the standard tori.