Partially hyperbolic symplectomorphism with C^1 bundles
Eramane Bodian, Khadim War
TL;DR
This paper proves dynamical coherence for a specific class of four-dimensional partially hyperbolic symplectomorphisms with C^1 stable and unstable bundles, advancing understanding of their dynamical structure.
Contribution
It establishes dynamical coherence for partial hyperbolic symplectomorphisms with C^1 bundles in dimension 4, a new result in symplectic dynamics.
Findings
Dynamical coherence is proven for the specified class.
The result applies to symplectomorphisms with C^1 stable and unstable bundles.
Advances understanding of the structure of partially hyperbolic systems.
Abstract
We prove dynamical coherence for partial hyperbolic symplectomorphism in dimension 4 whose stable and unstable bundles are C^1.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Quantum chaos and dynamical systems