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Average Transient Lifetime and Lyapunov Dimension for Transient Chaos in a High-Dimensional System
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CHEN Hong;TANG Jian-Xin;TANG Shao-Yan;XIANG Hong;CHEN Xin |
Department of Packaging Engineering, Zhuzhou Engineering
College, Zhuzhou 412008
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Cite this article: |
CHEN Hong, TANG Jian-Xin, TANG Shao-Yan et al 2001 Chin. Phys. Lett. 18 1435-1437 |
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Abstract 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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Keywords:
05.45.+b
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Published: 01 November 2001
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