Compositing Coexisting Attractors by Linear Augmentation

Abstract

In this paper, the composition of coexisting attractors is achieved through the control method of linear augmentation, which can also be considered as a new idea to generate multiscroll attractors. In order to prove the effectiveness, Chua oscillator and classical Lorenz system are taken into consideration. Furthermore, the corresponding electronic circuit is designed based on Lorenz system. The multism simulation results and the hardware experimental results are in agreement with the numerical simulations on the matlab platform, which verifies the feasibility of this control method.