Chimera regimes in a ring of elements with local unidirectional interaction
type: Item
instance of: scholarly article
title: Chimera regimes in a ring of elements with local unidirectional interaction
zbMATH Open document ID: 1392.34037
author: Igor' Aleksandrovich Shepelev
author: T. E. Vadivasova
publication date: 2016-09-20T00:00:00Z
full work available at URL: nd521
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 6628699
zbMATH Keywords: chimera states
zbMATH Keywords: coupled oscillators
zbMATH Keywords: unidirectional ring
zbMATH Keywords: modified Ikeda oscillator
MaRDI profile type: Publication
OpenAlex ID: W2468631907
DOI: 10.20537/ND1602003
published in: Nelineĭnaya Dinamika
review text: The authors carry out a numerical study of a ring of unidirectionally coupled modified Ikeda oscillators described by the system NEWLINE\[NEWLINE \varepsilon \frac{dx_j}{dt} = - \delta y_j - x_j + k f(x_{j-1}), \quad \frac{dy_j}{dt} = x_j,\qquad j=1,\dots,N, NEWLINE\]NEWLINE where NEWLINE\[NEWLINE f(x) = \frac{\beta}{1 + m \sin^2(x + \Phi_0)}. NEWLINE\]NEWLINE They identify parameter values for which this system displays traveling chimera-like patterns, i.e. spatio-temporal patterns characterized by spatially intermittent coherent and incoherent behavior.
reviewed by: Oleh Omel'chenko
description: scientific article; zbMATH DE number 6628699