How to Bridge Attractors and Repellors-Reference-Cited by-同舟云学术

How to Bridge Attractors and Repellors

Published:2017-09 Issue:10 Volume:27 Page:1750149
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Li Chunbiao¹²,Sprott Julien Clinton³

Affiliation:

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

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

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

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.

Funder

the Natural Science Foundation of the Jiangsu Higher Education Institutions of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127417501498

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1. Multistability in Chua's circuit with two stable node-foci

2. Transition to stochasticity for a class of forced oscillators

3. Quantitative bit error analysis of time‐reversal communication sequences