Crisis of Transient Chaos

Chin. Phys. Lett.

2002, Vol. 19

Issue (7): 901-903 DOI:

Original Articles

Crisis of Transient Chaos

WANG Wen-Xiu¹;LU Yun-Qing¹;CHEN He-Sheng¹;MA Ming-Quan²;ZHU You-Zhang¹;HE Da-Ren¹

¹Department of Physics and Complexity Science Center, Yangzhou University, Yangzhou 225002 ²Xi’an Research Institute of Advanced Science and Technology, Xi’an 710025

Cite this article:

WANG Wen-Xiu, LU Yun-Qing, CHEN He-Sheng et al 2002 Chin. Phys. Lett. 19 901-903

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Abstract A new kind of crisis, which is marked by a sudden change of a strange repeller, is observed in an electronic relaxation oscillator. Firstly, by its simplified piecewise linear model, we show analytically that a strange repeller appears after a hole-induced crisis, and that the fractal dimension of the strange repeller and the averaged lifetime of the iterations in the region occupied by the original attractor suddenly change at the critical parameter value when the repeller disappears. Our numerical investigation convinces us that the corresponding phenomenon can be found in the original electronic relaxation oscillator.

Keywords: 05.45.Ac

Published: 01 July 2002

PACS:

05.45.Ac

(Low-dimensional chaos)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I7/0901

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	WANG Wen-Xiu
	LU Yun-Qing
	CHEN He-Sheng
	MA Ming-Quan
	ZHU You-Zhang
	HE Da-Ren

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