Homoclinics and chaotic behaviour for perturbed second order systems
type: Item
instance of: scholarly article
title: Homoclinics and chaotic behaviour for perturbed second order systems
zbMATH Open document ID: 0957.37019
DOI: 10.1007/BF02506001
author: Massimiliano Berti
author: Philippe Bolle
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2001-04-01T00:00:00Z
review text: The authors deal with homoclinics and chaotic behaviour for perturbed dynamical systems and partial differential equations. They prove a connection between multiplicity results for homoclinics and the properties of the Melnikov primitive, which is based on a variational approach. The authors do not require any general restriction on the time-dependence of the perturbation such as periodicity, almost periodicity, etc.
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1472043
zbMATH Keywords: homoclinics
zbMATH Keywords: chaotic behaviour
zbMATH Keywords: perturbed dynamical systems
zbMATH Keywords: multiplicity
zbMATH Keywords: Melnikov primitive
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1472043