Infinite Multistability in a Self-Reproducing Chaotic System

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

Wen Hu
School of Electronic and Information Engineering,
Nanjing University of Aeronautics and Astronautics,
Nanjing 210016, P. R. China
huwen@nuaa.edu.cn

Yujie Xu
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
xyjeda@126.com

Received May 2, 2017; Revised June 30, 2017

ABSTRACT

Multistability exists in various regimes of dynamical systems and in different combinations, among which there is a special one generated by self-reproduction. In this paper, we describe a method for constructing self-reproducing systems from a unique class of variable-boostable systems whose coexisting attractors reside in the phase space along a specific coordinate axis and any of which can be selected by choosing an initial condition in its corresponding basin of attraction.

Ref: C. Li, J. C. Sprott, W. Hu, and Y. Xu, International Journal of Bifurcation and Chaos 27 1750160 (2017)