Entropy theory for sectional hyperbolic flows
نویسندگان
چکیده
Abstract We use entropy theory as a new tool to study sectional hyperbolic flows in any dimension. show that for C 1 flows, every set Λ is expansive, and the topological varies continuously with flow. Furthermore, if Lyapunov stable, then it has positive entropy; addition, chain recurrent class, contains periodic orbit. As corollary, we prove generic Lorenz-like class an attractor.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2021
ISSN: ['0294-1449', '1873-1430']
DOI: https://doi.org/10.1016/j.anihpc.2020.10.001