Periodic traveling waves in chains of oscillators
type: Item
instance of: scholarly article
title: Periodic traveling waves in chains of oscillators
zbMATH Open document ID: 1171.34028
author: J. Martínez
published in: Communications in Mathematical Analysis
publication date: 2009-04-24T00:00:00Z
review text: By using the linking theorem, the author proves the existence of nontrivial traveling waves \(q_n(s)=u(n-cs)\) with periodic profile function \(u\) for the system of equations \[ q''_n=a(q_{n+1}-2q_n+q_{n-1})+c_0q_n-V'(q_n),\quad n\in\mathbb Z. \] The above system describes the dynamics of an infinite chain of linearly coupled nonlinear oscillators, where each oscillator interacts linearly with two nearest neighbours.
reviewed by: Rodica Luca
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 58E50
Mathematics Subject Classification ID: 34A35
zbMATH DE Number: 5547355
zbMATH Keywords: chain of oscillators
zbMATH Keywords: traveling wave
zbMATH Keywords: periodic solution
zbMATH Keywords: linking theorem
zbMATH Keywords: critical point
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5547355