Chaotification of linear systems: Multiscroll attractors

Piecewise-constant (PWC) feedback control is applied to a linear time-invariant (LTI) system to generate chaos. Unlike conventional multiscroll attractor designs, in which the resulting attractor is composed of symmetric reflections of an original attractor produce by generalizing benchmarks like Chua's circuit. Our design has the flexibility to generate attractors with multiple scrolls with different specific orientations. The simplicity of our anti-controlled closed-loop piecewise-linear (PWL) system allows us to provide simple general rules to specify the location of the scrolls in state space. We illustrate the effectiveness of the proposed chaotification method with numerical and electronic implementations.