Entropy theory for sectional hyperbolic flows
2020
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 Λ is entropy expansive, and the topological entropy varies continuously with the flow. Furthermore, if Λ is Lyapunov stable, then it has positive entropy; in addition, if Λ 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.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
28
References
2
Citations
NaN
KQI