Finite size effects on instabilities of discrete breathers
type: Item
instance of: scholarly article
title: Finite size effects on instabilities of discrete breathers
zbMATH Open document ID: 0942.37050
DOI: 10.1016/S0167-2789(98)00077-3
author: Yanyan Li
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: The authors deal with one aspect of the stability of breathers which involves the size of the system. For numerical calculations, the authors consider finite systems with standard periodic boundary conditions. They illustrate their results by considering as an example the well-known one-dimensional Klein-Gordon model which consists of anharmonic oscillators with unity mass and harmonic nearest neighbor coupling with constant \(c\). Its Hamiltonian is \[ H=\sum_n \Biggl[ \frac{P_n^2}{2}+ V(u_n)+ \frac{c}{2} (u_{n+1}- u_n)^2 \Biggr]. \]
Mathematics Subject Classification ID: 37K45
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 70K99
zbMATH DE Number: 1374388
zbMATH Keywords: stability of breathers
zbMATH Keywords: one-dimensional Klein-Gordon model
zbMATH Keywords: Hamiltonian
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s0167-2789(98)00077-3
OpenAlex ID: W2138195346
description: scientific article; zbMATH DE number 1374388