Eur. Phys. J. Plus (2019) 134: 206
https://doi.org/10.1140/epjp/i2019-12535-0

Regular Article

Extreme multistability in a new hyperchaotic meminductive circuit and its circuit implementation

School of Information Science and Technology, Dalian Maritime University, 116026, Dalian, China

^* e-mail: xywang@dlmu.edu.cn

Received: 28 November 2018
Accepted: 24 January 2019
Published online: 14 May 2019

Abstract

In this paper, a new hyperchaotic meminductive circuit was designed. Based on the normalized mathematical model, the origin point as the unique equilibrium point of system was calculated. Especially, using the two-dimension complexity algorithms, the dynamical behaviors of system were analyzed. In the analysis, some peculiar physical phenomenon for instance coexisting evolution and infinitely many coexisting attractors were found. Finally, the practical circuit was physically implemented and the parameters of all the components are displayed. The results of numerical simulation show that the new circuit system is extremely multistable. It provides a theoretical guidance for the research of the chaotic related field.