Expansive partially hyperbolic diffeomorphisms with one-dimensional center
Mart\'in Sambarino, Jos\'e Vieitez
TL;DR
This paper establishes conditions under which expansive partially hyperbolic diffeomorphisms with a one-dimensional center are topologically Anosov, contributing to the understanding of their dynamical structure.
Contribution
It provides new sufficient conditions linking expansiveness and partial hyperbolicity to topological Anosov behavior in systems with one-dimensional center.
Findings
Identifies conditions for partial hyperbolicity to imply Anosov dynamics.
Connects expansiveness with topological Anosov properties.
Advances classification of dynamical systems with one-dimensional center.
Abstract
We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems