Homoclinic orbits to parabolic points
type: Item
instance of: scholarly article
title: Homoclinic orbits to parabolic points
zbMATH Open document ID: 0920.70017
DOI: 10.1007/PL00001416
author: O. Diekmann
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 1999-09-02T00:00:00Z
review text: This paper concerns non-Hamiltonian perturbations of Hamiltonian systems. Using Poincaré-Melnikov method, orbits which are homoclinic to degenerate periodic orbits of parabolic type are studied, specially the existence of transversal homoclinic points. The method used in this paper is related to a work of \textit{E. Fontich} in 1994, together with different estimates developed here. An interesting concrete example with numerical computations is included.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 1052939
zbMATH Keywords: transversality
zbMATH Keywords: non-Hamiltonian perturbations
zbMATH Keywords: Poincaré-Melnikov method
zbMATH Keywords: degenrate periodic orbits
zbMATH Keywords: existence of transversal homoclinic points
reviewed by: Yiming Long
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1052939