How to Bridge Attractors and Repellors
Chunbiao Li∗
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
goontry@126.com
chunbiaolee@nuist.edu.cn
Julien Clinton Sprott
Department of Physics, University of Wisconsin-Madison,
Madison, WI 53706, USA
sprott@physics.wisc.edu
Received September 23, 2016; Revised June 15, 2017
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.