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arXiv:1905.04703 [math.DS]AbstractReferencesReviewsResources

Historic behavior in non-hyperbolic homoclinic classes

Pablo G. Barrientos, Shin Kiriki, Yushi Nakano, Artem Raibekas, Teruhiko Soma

Published 2019-05-12Version 1

We show that $C^1$-generically for diffeomorphisms of manifolds of dimension $d\geq3$, a homoclinic class containing saddles of different indices has a residual subset where the orbit of any point has historic behavior.

Comments: 12 pages, 3 figures
Categories: math.DS
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