Simulation of a family of multi-folded torus and multi-scroll chaotic attractors

Abstract

A new type of multi-folded torus and multi-scroll chaotic generator is studied by constructing a new nonlinear function. With the natural number n increasing, the characteristic of this chaotic system is that it can generate the 2n-folded torus and 2n+1-scroll chaotic attractors which are of the same size and evenly distributed, and the folded torus chaotic attractors alternated with the scroll attractors. The leaftmost and the rightmost of this chaotic system are scroll attractors. Finally, the circuitry is designed and simulated on Electronics Workbench (EWB).