This article is cited in 2 papers

Original papers

Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble

N. I. Semenova, V. S. Anishchenko

National Research Saratov State University, Astrakhanskaya 83, Saratov, 410012, Russia

Abstract: We consider the dynamics of a ring of nonlocally coupled logistic maps when varying the coupling coefficient. We introduce the coupling function, which characterizes the impact of nonlocal neighbors and study its dynamics together with the dynamics of the whole ensemble. Conditions for the transition from complete chaotic synchronization to partial one are analyzed and the corresponding theoretical estimation of the bifurcation parameter $\sigma$ is given. Conditions for the appearance of phase and amplitude chimera states are also studied.

Keywords: chimera states, nonlocal coupling, chaotic synchronization, desynchronization, one-dimensional ensemble.

UDC: 530.182

MSC: 90B10, 34D06, 35B36

Received: 27.04.2016
Accepted: 25.06.2016

DOI: 10.20537/nd1603001

Bibliographic databases:

•