Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system
type: Item
instance of: scholarly article
title: Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system
zbMATH Open document ID: 0939.37045
DOI: 10.1016/S0167-2789(98)00312-1
author: Laurent Nana
author: E. Kaptouom
author: Timoléon C. Kofané
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: The authors deal with a driven and damped sine-Gordon system and present several interesting predictions for space-time instabilities for this system. Since for the system under consideration the classical method is not applicable, the authors use a modified version of the Melnikov method to homoclinic bifurcations of the perturbed sine-Gordon system. They provide the dynamical behaviour of the sine-Gordon system by numerical computations.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K50
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37M20
zbMATH DE Number: 1374399
zbMATH Keywords: sine-Gordon equations
zbMATH Keywords: Melnikov method
zbMATH Keywords: homoclinic bifurcation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Influence of solitons in the initial state on chaos in the driven damped sine-Gordon system
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cites work: Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
cites work: Q4692840
full work available at URL: s0167-2789(98)00312-1
OpenAlex ID: W1969298960
Wikidata QID: Q126670767
description: scientific article; zbMATH DE number 1374399