Generating 2n‐wing attractors from Lorenz‐like systems

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. Copyright © 2008 John Wiley & Sons, Ltd.