Nonlinear localized periodic solutions in a coupled map lattice
type: Item
instance of: scholarly article
title: Nonlinear localized periodic solutions in a coupled map lattice
zbMATH Open document ID: 0948.37009
DOI: 10.1016/S0167-2789(98)00061-X
author: Markus Abel
author: M. Spicci
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: The authors deal with a set of mappings which arises in the study of dynamics of a chain of coupled driven pendula. A peculiarity of nonlinear coupled pendula is the existence of the so-called discrete breathers, which are spatially localized and time periodic solutions of the equations of motion. For an infinite chain of nonlinear coupled maps the authors prove the existence of localized periodic solutions when coupling is small enough. To this end the authors apply the discrete version of Floquet theory.
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 37J05
zbMATH DE Number: 1374390
zbMATH Keywords: spatially localized solutions
zbMATH Keywords: time periodic solutions
zbMATH Keywords: nonlinear coupled map
zbMATH Keywords: Floquet theory
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1374390