Generating 2n-wing attractors from Lorenz-like systems

摘要

In this paper, the existence of 2n-wing chaotic attractors in a family of Lorenz-like systems is confirmed by both numerical simulation and circuit realization. By replacing a nonlinear cross-product or square term in an original Lorenz-like system with a newly designed multi-segment quadratic function, multi-wing attractor can be generated. The main design idea is to increase the number of index-2 equilibrium points of the system. This approach can not only generate multi-wing attractors in different Lorenz-like systems, but can also allow the flexibility in specifying a precise number of wings to be created.