Constructing conditional symmetry in symmetric chaotic systems

Based on the analysis of polarity balance and exhaustive computer searching, a series of symmetric chaotic flows is found for hosting conditional symmetry. Symmetric structure shapes the elegant symmetric phase trajectory, and conditional symmetry permits the convenience of embedding an extra set of coexisting symmetric attractors. Bifurcation analysis proves the coexistence of two independent processes of dynamical behavior under conditional symmetry. Circuit simulation confirms the numerical and theoretical analysis.(c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

Based on polarity balance and exhaustive computer searching, a series of symmetric chaotic flows with conditional symmetry were found. These flows have elegant symmetric phase trajectories and coexisting symmetric attractors.