Infinite Multistability in a Self-Reproducing Chaotic System-Reference-Cited by-同舟云学术

Infinite Multistability in a Self-Reproducing Chaotic System

Published:2017-09 Issue:10 Volume:27 Page:1750160
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,Hu Wen⁴,Xu Yujie¹²

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

4. School of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

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.

Funder

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

the Startup Foundation for Introducing Talent of NUIST

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127417501607

Reference25 articles.

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

2. Extreme multistability in a memristive circuit