Heteroclinic orbits in singular systems: A unifying approach
type: Item
instance of: scholarly article
title: Heteroclinic orbits in singular systems: A unifying approach
zbMATH Open document ID: 0804.34047
DOI: 10.1007/BF02219191
author: F. Battelli
published in: Journal of Dynamics and Differential Equations
publication date: 1995-01-24T00:00:00Z
review text: The author considers a singularly perturbed system \(\xi'= f(\xi,\eta,\varepsilon)\), \(\eta'=\varepsilon g(\xi,\eta,\varepsilon)\). It is assumed that \(\xi'= f(\xi,\alpha,0)\) has two manifolds of hyperbolic fixed points. The problem of the existence of heteroclinic orbits which join these manifolds is reduced to a bifurcation equation \(G(\alpha,\epsilon)= 0\).
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 553855
zbMATH Keywords: singularly perturbed system
zbMATH Keywords: manifolds of hyperbolic fixed points
zbMATH Keywords: existence of heteroclinic orbits
zbMATH Keywords: bifurcation
reviewed by: Sergei Yu. Pilyugin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 553855