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- W2912226227 abstract "We use entropy theory as a new tool to study sectional hyperbolic flows in any dimension. We show that for $C^1$ flows, every sectional hyperbolic set $Lambda$ is entropy expansive, and the topological entropy varies continuously with the flow. Furthermore, if $Lambda$ is Lyapunov stable, then it has positive entropy; in addition, if $Lambda$ is a chain recurrent class, then it contains a periodic orbit. As a corollary, we prove that for $C^1$ generic flows, every Lorenz-like class is an attractor." @default.
- W2912226227 created "2019-02-21" @default.
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- W2912226227 date "2019-01-22" @default.
- W2912226227 modified "2023-10-18" @default.
- W2912226227 title "Entropy theory for sectional hyperbolic flows" @default.
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- W2912226227 doi "https://doi.org/10.48550/arxiv.1901.07436" @default.
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