Chimera states in coupled memristive chaotic systems: Effects of control parameters

¹ Centre for Artificial Intelligence, Chennai Institute of Technology - Chennai 600069, India
² Complex Systems Group, Department of Mathematics and Statistics, The University of Western Australia Crawley, Western Australia 6009, Australia
³ Information Technology Collage, Imam Ja'afar Al-Sadiq University - Baghdad 10001, Iraq
⁴ Centre for Nonlinear Systems, Chennai Institute of Technology - Chennai 600069, India
⁵ School of Artificial Intelligence, Nanjing University of Information Science and Technology Nanjing, China

^(a) zahra0shahriari@gmail.com (corresponding author)

Received: 25 April 2022
Accepted: 15 July 2022

Abstract

The study of the collective behavior of oscillators has attracted great attention in recent years. Among all dynamical systems, multi-stable systems have received particular attention. This paper considers a ring network of non-locally coupled VB5 chaotic systems exhibiting multistability with linear coupling. The collective patterns of the oscillators are investigated by taking various internal parameters of memristors as the bifurcation parameter. The network's state is characterized by computing the strength of incoherence. Moreover, the variations of the coupling strength and the number of neighbors in connections are considered to check out the coupling effects. The synchronous, chimera, and asynchronous states are visible in the network under different parameters. It is observed that as the dynamics of the oscillators become more complex, the behavior of the network transits to more asynchrony. The results also show that the network represents the chimera state both in monostable and multistable modes. In monostable mode, the oscillators of the synchronized and asynchronized groups belong to one attractor. In contrast, in the multistable mode, each group oscillates in one of the existing attractors.