UNSPECIFIED (2002) An existence criterion for conjugacy invariant of diffeomorphisms and vector fields. COMPTES RENDUS MATHEMATIQUE, 334 (1). pp. 53-58. ISSN 1631-073X

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Abstract

We consider dimension 3 vector fields (resp. diffeomorphisms), in a neighborhood of a hyperbolic saddle. We give a criterion to decide if the imaginary part (resp. the angular part) of the eigenvalues of the linear part of the dynamical system at the fixed point is a topological conjugacy invariant if we assume that the conjugacy maps a non-spiraling curve onto another one. We apply this result to the situation of diffeomorphisms and vector fields with a quasi-transversal homoclinic orbit. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	COMPTES RENDUS MATHEMATIQUE
Publisher:	EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
ISSN:	1631-073X
Date:	15 January 2002
Volume:	334
Number:	1
Number of Pages:	6
Page Range:	pp. 53-58
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10963

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