Average Transient Lifetime and Lyapunov Dimension for Transient Chaos in a High-Dimensional System

Chin. Phys. Lett.

2001, Vol. 18

Issue (11): 1435-1437 DOI:

Original Articles

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

Department of Packaging Engineering, Zhuzhou Engineering College, Zhuzhou 412008

Cite this article:

CHEN Hong, TANG Jian-Xin, TANG Shao-Yan et al 2001 Chin. Phys. Lett. 18 1435-1437

Download: PDF(349KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

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.

Keywords: 05.45.+b

Published: 01 November 2001

PACS:

05.45.+b

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2001/V18/I11/01435

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	CHEN Hong
	TANG Jian-Xin
	TANG Shao-Yan
	XIANG Hong
	CHEN Xin

Related articles from Frontiers Journals

[1]	Juan A. Lazzús . Predicting Natural and Chaotic Time Series with a Swarm-Optimized Neural Network**[J]. Chin. Phys. Lett., 2011, 28(11): 1435-1437
[2]	MIAO Qing-Ying, FANG Jian-An, TANG Yang, DONG Ai-Hua. Increasing-order Projective Synchronization of Chaotic Systems with Time Delay[J]. Chin. Phys. Lett., 2009, 26(5): 1435-1437
[3]	BU Yun, WEN Guang-Jun, ZHOU Xiao-Jia, ZHANG Qiang. A Novel Adaptive Predictor for Chaotic Time Series[J]. Chin. Phys. Lett., 2009, 26(10): 1435-1437
[4]	FANG Jin-Qing, YU Xing-Huo. A New Type of Cascading Synchronization for Halo-Chaos and Its Potential for Communication Applications[J]. Chin. Phys. Lett., 2004, 21(8): 1435-1437
[5]	He Wei-Zhong, XU Liu-Su, ZOU Feng-Wu. Dynamics of Coupled Quantum--Classical Oscillators[J]. Chin. Phys. Lett., 2004, 21(8): 1435-1437
[6]	YIN Hua-Wei, LU Wei-Ping, WANG Peng-Ye. Determination of Optimal Control Strength of Delayed Feedback Control Using Time Series[J]. Chin. Phys. Lett., 2004, 21(6): 1435-1437
[7]	HE Kai-Fen. Hopf Bifurcation in a Nonlinear Wave System[J]. Chin. Phys. Lett., 2004, 21(3): 1435-1437
[8]	CHEN Jun, LIU Zeng-Rong. A Method of Controlling Synchronization in Different Systems[J]. Chin. Phys. Lett., 2003, 20(9): 1435-1437
[9]	ZHENG Yong-Ai, NIAN Yi-Bei, LIU Zeng-Rong. Impulsive Synchronization of Discrete Chaotic Systems[J]. Chin. Phys. Lett., 2003, 20(2): 1435-1437
[10]	FANG Jin-Qing, YU Xing-Huo, CHEN Guan-Rong. Controlling Halo-Chaos via Variable Structure Method[J]. Chin. Phys. Lett., 2003, 20(12): 1435-1437
[11]	ZHANG Guang-Cai, ZHANG Hong-Jun,. Control Method of Cooling a Charged Particle Pair in a Paul Trap[J]. Chin. Phys. Lett., 2003, 20(11): 1435-1437
[12]	ZHENG Yong-Ai, NIAN Yi-Bei, LIU Zeng-Rong. Impulsive Control for the Stabilization of Discrete Chaotic System[J]. Chin. Phys. Lett., 2002, 19(9): 1435-1437
[13]	LI Ke-Ping, CHEN Tian-Lun. Phase Space Prediction Model Based on the Chaotic Attractor[J]. Chin. Phys. Lett., 2002, 19(7): 1435-1437
[14]	ZHANG Hai-Yun, HE Kai-Fen. Charged Particle Motion in Temporal Chaotic and Spatiotemporal Chaotic Fields[J]. Chin. Phys. Lett., 2002, 19(4): 1435-1437
[15]	ZHOU Xian-Rong, MENG Jie, , ZHAO En-Guang,. Spectral Statistics in the Cranking Model[J]. Chin. Phys. Lett., 2002, 19(2): 1435-1437

Viewed

Full text

Abstract