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An existence criterion for conjugacy invariant of diffeomorphisms and vector fields
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | COMPTES RENDUS MATHEMATIQUE | ||||
Publisher: | EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | ||||
ISSN: | 1631-073X | ||||
Official Date: | 15 January 2002 | ||||
Dates: |
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Volume: | 334 | ||||
Number: | 1 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 53-58 | ||||
Publication Status: | Published |
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