Eur. Phys. J. Plus (2018) 133: 516
https://doi.org/10.1140/epjp/i2018-12309-2

Regular Article

Characteristic analysis of the fractional-order hyperchaotic memristive circuit based on the Wien bridge oscillator

¹ School of Information Science and Technology, Dalian Maritime University, 116026, Dalian, China
² School of Information Science and Engineering, Dalian Polytechnic University, 116034, Dalian, China

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

Received: 20 July 2018
Accepted: 11 October 2018
Published online: 14 December 2018

Abstract

In this paper, a new hyperchaotic memristive circuit based on the Wien bridge oscillator is built. The numerical solution of the new fractional-order memristive system is calculated by using the Adomian decomposition method. By using the spectral entropy (SE) complexity algorithm and the complexity algorithm, the dynamic characteristics of the fractional-order system are analyzed. Especially, the fractional-order coexisting attractors are found and the coexisting bifurcation diagrams with different order are presented. With varying the order q , the phenomenon of coexisting evolution is observed. Finally, the practical circuit is realized. The results of the theoretical analysis and the numerical simulation show that the fractional-order Wien bridge hyperchaotic memristive circuit system has very complex dynamical characteristics. It provides a theoretical guidance for the chaotic related field.