Generating chaos via nonlinear system switching anti-control and circuit implementation

摘要

In this paper, a novel approach is developed for generating chaos based on an unstable nonlinear system switching anti-control strategy and constructing heteroclinic loops, which is different from the existing linear system switching-based chaotification. To confirm the existence of chaos, a topological horseshoe of the proposed switching controlled nonlinear system is further investigated. In addition, a circuit is also designed and implemented, with experimental results demonstrated. Both numerical simulations and circuit implementation together show the effectiveness of the proposed systematic methodology.