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- W1648747540 abstract "In this paper we study the effect of a homoclinic tangency in the variation of the topological entropy. We prove that a diffeomorphism with a homoclinic tangency associated to a basic hyperbolic set with maximal entropy is a point of entropy variation in the $C^{infty}$-topology. We also prove results about variation of entropy in other topologies and when the tangency does not correspond to a basic set with maximal entropy. We also show an example of discontinuity of the entropy among $C^{infty}$ diffeomorphisms of three dimensional manifolds." @default.
- W1648747540 created "2016-06-24" @default.
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- W1648747540 date "2010-11-10" @default.
- W1648747540 modified "2023-09-27" @default.
- W1648747540 title "Homoclinic tangency and variation of entropy" @default.
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