Eur. Phys. J. Spec. Top. (2021) 230: 1863-1871
https://doi.org/10.1140/epjs/s11734-021-00119-8

Regular Article

A new 3D multi-scroll chaotic system generated with three types of hidden attractors

College of Computer Science and Electronic Engineering, Hunan University, 410082, Changsha, China

^b wch1227164@hnu.edu.cn

Received: 12 November 2020
Accepted: 28 April 2021
Published online: 22 June 2021

Abstract

In this paper, A new 3D multi-scroll hidden attractor chaotic system is proposed. The proposed system has chaotic attractors with no equilibrium point, one stable equilibrium point and several stable equilibria. And these three types of hidden attractors can be obtained just through varying a parameter of the system. In the other hand, multi-scroll attractors are generated by a piecewise linear function. The phase diagrams and basins of attraction are respectively used to prove that this system has multi-scroll attractors and hidden attractors. There are also some other powerful tools to analyze the dynamical characteristics of this system like Lyapunov spectrums, bifurcation diagrams and Poincaré maps. This system has great application prospects in communication encryption due to the complex dynamic behaviors of the multi-scroll chaotic attractors and the security of the hidden attractors. Moreover, we accomplish the circuit experiment, and verify the feasibility of each case of the multi-scroll hidden attractor chaotic system.