TY - JOUR
T1 - Chimera states in coupled memristive chaotic systems
T2 - Effects of control parameters
AU - Ramamoorthy, Ramesh
AU - Shahriari, Zahra
AU - Natiq, Hayder
AU - Rajagopal, Karthikeyan
AU - Li, Chunbiao
N1 - Funding Information:
This work is partially funded by Center for Nonlinear Systems, Chennai Institute of Technology, India, vide funding No. CIT/CNS/2022/RD/006.
Publisher Copyright:
Copyright © 2022 EPLA.
PY - 2022/8/9
Y1 - 2022/8/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85135978038&partnerID=8YFLogxK
U2 - 10.1209/0295-5075/ac8179
DO - 10.1209/0295-5075/ac8179
M3 - Article
AN - SCOPUS:85135978038
SN - 0295-5075
VL - 139
JO - EPL
JF - EPL
IS - 4
M1 - 41001
ER -