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arXiv · 1905.04703

Historic behavior in non-hyperbolic homoclinic classes

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

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.

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Pablo G. Barrientos, Shin Kiriki, Yushi Nakano, Artem Raibekas, Teruhiko Soma. 2019-05-12. Historic behavior in non-hyperbolic homoclinic classes. https://doi.org/10.1090/proc/14809

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