Hidden Attractors with Conditional Symmetry-Reference-Cited by-同舟云学术

Hidden Attractors with Conditional Symmetry

Published:2020-11 Issue:14 Volume:30 Page:2030042
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Li Chunbiao¹²³,Sun Jiayu¹²³,Sprott Julien Clinton⁴,Lei Tengfei³

Affiliation:

1. Jiangsu Collaborative Innovation Center of Atmospheric, Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

2. School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

3. Collaborative Innovation Center of Memristive, Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, P. R. China

4. Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA

Abstract

By introducing an absolute value function for polarity balance, some new examples of chaotic systems with conditional symmetry are constructed that have hidden attractors. Coexisting oscillations along with bifurcations are investigated by numerical simulation and circuit implementation. Such new cases enrich the gallery of hidden chaotic attractors of conditional symmetry that are potentially useful in engineering technology.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127420300426

Reference47 articles.

1. Extreme multistability in a memristive circuit

2. Hidden extreme multistability in memristive hyperchaotic system

3. Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria