Flowability of plane homeomorphisms
Frederic Le Roux, Anthony O'Farrell, Maria Roginskaya, and Ian Short
TL;DR
This paper establishes precise conditions under which certain fixed point free planar homeomorphisms preserving a foliation can be embedded into a flow that maintains the foliation, advancing understanding of planar dynamical systems.
Contribution
It provides necessary and sufficient criteria for embedding fixed point free homeomorphisms into invariant flows, a novel characterization in foliation-preserving dynamics.
Findings
Identifies conditions for embedding homeomorphisms into flows
Characterizes fixed point free homeomorphisms preserving Reeb foliation
Advances understanding of planar foliation-preserving dynamics
Abstract
We describe necessary and sufficient conditions for an orientation preserving fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar flow that leaves the foliation invariant.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals · Control and Dynamics of Mobile Robots