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hal.structure.identifierInstitut de Mathématiques de Bourgogne [Dijon] [IMB]
dc.contributor.authorBONATTI, Christian
hal.structure.identifierLaboratoire Analyse, Géométrie et Applications [LAGA]
dc.contributor.authorCROVISIER, S.
hal.structure.identifierDepartamento de Matematica
dc.contributor.authorDÍAZ, L. J.
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGOURMELON, N.
dc.date.accessioned2024-04-04T02:28:18Z
dc.date.available2024-04-04T02:28:18Z
dc.date.created2010-11-12
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190094
dc.description.abstractEnConditions are provided under which lack of domination of a homoclinic class yields robust heterodimensional cycles. Moreover, so-called viral homoclinic classes are studied. Viral classes have the property of generating copies of themselves producing wild dynamics (systems with infinitely many homoclinic classes with some persistence). Such wild dynamics also exhibits uncountably many aperiodic chain recurrence classes. A scenario (related with non-dominated dynamics) is presented where viral homoclinic classes occur. A key ingredient are adapted perturbations of a diffeomorphism along a periodic orbit. Such perturbations preserve certain homoclinic relations and prescribed dynamical properties of a homoclinic class.
dc.language.isoen
dc.title.enInternal perturbations of homoclinic classes:non-domination, cycles, and self-replication
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Systèmes dynamiques [math.DS]
dc.identifier.arxiv1011.2935
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00538112
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00538112v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BONATTI,%20Christian&CROVISIER,%20S.&D%C3%8DAZ,%20L.%20J.&GOURMELON,%20N.&rft.genre=preprint


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