Theoretical design and circuit realization of complex grid multi-wing chaotic system

This paper further investigates a novel method for generating complex grid multi-wing chaotic attractors by double-mirror symmetry conversion both in z direction and in y direction. First, multi-wing chaotic attractors are obtained from a three-dimensional quadratic chaotic system by designing an even-symmetry multi-segment quadratic function to extend the number of saddle-focus equilibrium points with index 2 in y direction. Second, the principle of mirror symmetry conversion for generating grid multi-wing is given. Third, based on the principle, by the double-mirror symmetry conversion with respect to z-axis and y-axis, respectively, intended grid n × m-wing chaotic systems can be obtained. Finally, improved module-based circuits are designed for generating grid multi-wing chaotic attractors, which has demonstrated the feasibility of the proposed approaches.