In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps
type: Item
instance of: scholarly article
title: In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps
zbMATH Open document ID: 1026.37037
DOI: 10.1155/S1026022602000250
author: V. V. Astakhov
author: Alexey Shabunin
author: Alexander Klimshin
author: V. S. Anishchenko
published in: Discrete Dynamics in Nature and Society
publication date: 2003-11-30T00:00:00Z
full work available at URL: https://eudml.org/doc/123063
review text: The authors consider the system of coupled cubic maps \(x_{n+1}=f(x_n) +\gamma (f(y_n) -f(x_n))\), \(y_{n+1}=f(y_n) +\gamma (f(x_n) -f(y_n))\), where \(f(x)=(a-1)x-ax^3\). Two synchronization regimes are possible in this system: \(x=y\) and \(x=-y\). The authors call them complete in-phase and antiphase synchronization, respectively. The main purpose of the paper is to give a detailed study of the bifurcational mechanisms involved in appearance of both types of synchronization. Feedback control method is also used to achieve antiphase synchronization.
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 37E99
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 1921379
zbMATH Keywords: antisynchronization
zbMATH Keywords: complete synchronization
zbMATH Keywords: coupled cubic maps
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1921379