Hidden Attractors with Conditional Symmetry
Chunbiao Li∗ and 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
∗goontry@126.com
∗chunbiaolee@nuist.edu.cn
†sunjy9512@163.com
Julien Clinton Sprott
Department of Physics,
University of Wisconsin–Madison,
Madison, WI 53706, USA
sprott@physics.wisc.edu
Tengfei Lei
Collaborative Innovation Center of Memristive
Computing Application (CICMCA),
Qilu Institute of Technology,
Jinan 250200, P. R. China
leitengfeicanhe@126.com
Received January 19, 2020; Revised April 16, 2020
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.