Uniform Hyperbolicity of a Scattering Map with Lorentzian Potential

We show that a two-dimensional area-preserving map with Lorentzian potential is a topological horseshoe and uniformly hyperbolic in a certain parameter region. In particular, we closely examine the so-called sector condition, which is known to be a sufficient condition leading to the uniformly hyper...

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Bibliographic Details
Main Authors: Hajime Yoshino, Ryota Kogawa, Akira Shudo
Format: Article
Language:English
Published: MDPI AG 2019-12-01
Series:Condensed Matter
Subjects:
Online Access:https://www.mdpi.com/2410-3896/5/1/1