Simple approach to the creation of a strange nonchaotic attractor in any chaotic system

作者：J. W. Shuai, Ka Wai Wong · 发表于：Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 年份：1999 · DOI：10.1103/physreve.59.5338 · 被引用次数：18 · 研究领域：Chaos control and synchronization、Quantum chaos and dynamical systems、Nonlinear Dynamics and Pattern Formation

A simple approach to the creation of a strange nonchaotic attractor in any chaotic system is described. The main idea is to control the parameter of the system in such a manner that the system dynamics is expanding at some times, but converging at others. With this approach, a strange nonchaotic attractor can be found in a large region in the parameter space near the boundaries between chaotic and regular phases or within the chaotic region far from the regular one. The maximum nontrivial Lyapunov exponent of the system can pass through zero nonsmoothly and cannot be fitted by a linear function.