Coupling schemes for cluster synchronization in coupled Josephson equations
type: Item
instance of: scholarly article
title: Coupling schemes for cluster synchronization in coupled Josephson equations
zbMATH Open document ID: 1066.34046
published in: Physica D
publication date: 2004-11-22T00:00:00Z
review text: The paper considers the system of coupled Josephson equations \[ \Phi'' + \alpha \Phi + \beta A \Phi + f(\Phi) =I, \] where \(\Phi=(\phi_1,\phi_2,\dots,\phi_n)^T\), the damping coefficient \(\alpha>0\), the constant input \(I=(I_1,I_2,\dots,\) \(I_n)^T \in \mathbb{R}^n\), \(f(\Phi) =(\sin(\phi_1),\sin(\phi_2),\dots,\sin(\phi_n))^T\). \(\beta>0\) measures the coupling strength and \(A\) is a real matrix reflecting the coupling topology. The authors propose an approach for constructing such coupling schemes, i.e., the matrix \(A\), that a selected cluster synchronization pattern is stable. In particular, a coupling scheme is given to create a synchronization with the frequency ratio \(m_1:m_2:\cdots:m_n\).
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C30
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 2117628
zbMATH Keywords: cluster synchronization
zbMATH Keywords: coupling scheme
zbMATH Keywords: Josephson equations
author: Wen-Xin Qin
author: Guanrong Chen
MaRDI profile type: Publication
full work available at URL: j.physd.2004.07.011
OpenAlex ID: W2003569375
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DOI: 10.1016/J.PHYSD.2004.07.011
description: scientific article; zbMATH DE number 2117628