Dynamical analysis and FPGA implementation of a large range chaotic system with coexisting attractors

Abstract

Based on the generalized 3-D Lü chaotic system, this paper presents a new 3-D autonomous continuous chaotic system with a large range parameter b∈[7500]. The system has coexisting chaotic attractors depending on the distances from unstable equilibrium points to a given initial point. The topological horseshoes and entropy are obtained by the aid of the topological horseshoes theory and numerical computations. The results show that the new system is chaotic. Moreover, the system’s chaotic characteristics are verified by Multisim simulation and FPGA implementation. Keywords: Chaotic system, Coexisting attractors, FPGA implementation, Topological horseshoes