Eur. Phys. J. Plus (2020) 135: 452
https://doi.org/10.1140/epjp/s13360-020-00456-y

Regular Article

A chaotic system with a nonlinear term and multiple coexistence attractors

College of Information Engineering, Shenyang University of Chemical Technology, 110142, Shenyang, China

^a yanminxiu@syuct.edu.cn

Received: 23 March 2020
Accepted: 12 May 2020
Published online: 2 June 2020

Abstract

This paper proposes a novel chaotic system characterized by a simple mathematical model and multiple coexisting attractors. Theoretical analysis and numerical simulation show that the proposed system is dissipative, symmetric, and chaotic. The system can generate a double-scroll chaotic attractor with having only one nonlinear term. With changing parameters, a double-scroll attractor is split into two single-scroll attractors. The system has many coexisting attractors, such as one double-scroll chaotic attractor and two single-scroll periodic attractors, two single-scroll chaotic attractors and two single-scroll periodic attractors, and four periodic attractors. The complex dynamic of the system is physically shown by establishing an electronic circuit of the system.