Generating multi-folded torus chaotic attractors

A systematic methodology for generating multi-folded torus chaotic attractors from a simple three-dimensional piecewise-linear system is presented in this paper. Theoretical analysis shows that multi-folded torus chaotic attractors can be created via alternative switching between two piecewise-linear systems. A novel circuit diagram is designed for physically creating multi-folded torus chaotic attractors. This is the first time in the literature to experimentally verify a maximum 9-folded torus chaotic attractor that is generated by an analog circuit.