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How to Bridge Attractors and Repellors

Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

E-mail Address: goontry@126.com

E-mail Address: chunbiaolee@nuist.edu.cn

Corresponding author.

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and

Julien Clinton Sprott

Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA

E-mail Address: sprott@physics.wisc.edu

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https://doi.org/10.1142/S0218127417501498Cited by:18 (Source: Crossref)

Abstract

Strange attractors have been extensively studied, but the same is not true for strange repellors. Some time-reversible systems have repellors that mirror their corresponding attractors and that exchange roles when time is reversed. In this paper, a conversion operator is introduced by which an easy transformation can be constructed between such a time-reversible system with an attractor/repellor pair and an irreversible one with a pair of attractors, or vice versa, thus expanding the list of such examples.

Keywords:

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