Average Transient Lifetime and Lyapunov Dimension for Transient Chaos in a High-Dimensional System
Chen Hong; Tang Jian-Xin; Tang Shao-Yan; Xiang Hong; Chen Xin; Chen Hong; Department of Packaging Engineering, Zhuzhou Engineering College, Zhuzhou 412008; Tang Jian-Xin; Department of Packaging Engineering, Zhuzhou Engineering College, Zhuzhou 412008; Tang Shao-Yan; Department of Packaging Engineering, Zhuzhou Engineering College, Zhuzhou 412008; Xiang Hong; Department of Packaging Engineering, Zhuzhou Engineering College, Zhuzhou 412008; Chen Xin; Department of Packaging Engineering, Zhuzhou Engineering College, Zhuzhou 412008
Журнал:
Chinese Physics Letters
Дата:
2001-11-01
Аннотация:
The average transient lifetime of a chaotic transient versus the Lyapunov dimension of a chaotic saddle is studied for high-dimensional nonlinear dynamical systems. Typically the average lifetime depends upon not only the system parameter but also the Lyapunov dimension of the chaotic saddle. The numerical example uses the delayed feedback differential equation.
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