Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes

dc.creatorDiaz, Lorenzo J.
dc.creatorGorodetski, Anton
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:31:58Z
dc.date.available2026-07-07T09:31:58Z
dc.descriptionWe prove that for a generic $C^1$-diffeomorphism existence of a homoclinic class with periodic saddles of different indices (dimension of the unstable bundle) implies existence an invariant ergodic non-hyperbolic (one of the Lyapunov exponents is equal to zero) measure of $f$.
dc.description50 pages
dc.identifierhttps://arxiv.org/abs/0804.1796
dc.identifierhttp://arxiv.org/abs/0804.1796
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158647
dc.subjectDynamical Systems
dc.subject37C05, 37C20, 37C29, 37D25, 37D30
dc.titleNon-hyperbolic ergodic measures for non-hyperbolic homoclinic classes
dc.typetext

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