Analysis of Crisis for Producing Supertransients

Chin. Phys. Lett.

2005, Vol. 22

Issue (3): 551-553 DOI:

Original Articles

Analysis of Crisis for Producing Supertransients

SHEN Ying;JIANG Yu-Mei;HE Yue;DAI Jun;HE Da-Ren

College of Physics Science and Technology, Yangzhou University, Yangzhou 225002

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SHEN Ying, JIANG Yu-Mei, HE Yue et al 2005 Chin. Phys. Lett. 22 551-553

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Abstract We report a crisis that is induced by an escape from a fat strange set formed by the forward images of an oscillating discontinuity borderline. It is analytically and numerically shown that the iteration lifetime obeys the universal power-law dependence on the controlling parameter and the scaling exponent takes an exceptional large value, i.e. v=1.72±0.04. The strange repeller, which appears after the crisis, is also a fat fractal. To our knowledge, this is the first example for a new mechanism that produces supertransients.

Keywords: 05.45.Ac

Published: 01 March 2005

PACS:

05.45.Ac

(Low-dimensional chaos)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I3/0551

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