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Hidden Attractors with Conditional Symmetry

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

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

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

E-mail Address: goontry@126.com

E-mail Address: chunbiaolee@nuist.edu.cn

Corresponding author.

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Jiayu Sun

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

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

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

E-mail Address: sunjy9512@163.com

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Julien Clinton Sprott

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

E-mail Address: sprott@physics.wisc.edu

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, and

Tengfei Lei

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

E-mail Address: leitengfeicanhe@126.com

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https://doi.org/10.1142/S0218127420300426Cited by:25 (Source: Crossref)

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.

Keywords:

References

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