Eur. Phys. J. Special Topics 229, 1163-1174 (2020)
https://doi.org/10.1140/epjst/e2020-900245-7

Regular Article

A simple hyperchaotic circuit with coexisting multiple bifurcations and offset boosting

Department of Electronics Technical, Changzhou Xingyu Automotive Lighting System Co, Ltd., Changzhou 213022, P.R. China

^a e-mail: yangyan_tiffany@163.com

Received: 31 October 2019
Received in final form: 4 December 2019
Published online: 26 March 2020

Abstract

In this paper, a fourth-order hyperchaotic circuit with smooth diode-based nonlinearity is modified from the Tamaševičius oscillator. The hyperchaotic circuit has both simple topology and algebraic equation. Some previously uncovered dynamical behaviours of multiple coexisting bifurcations, bi-stability, and offset boosting are revealed by theoretical analyses and numerical simulations. These findings are further verified by circuit simulations and hardware experiments.