Historic behavior in non-hyperbolic homoclinic classes.

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

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（2020）

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摘要

We show that C-1-generically for diffeomorphisms of manifolds of dimension d >= 3, 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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