Anosov magnetic flows on surfaces
James Marshall Reber, Yumin Shen
TL;DR
This paper establishes precise criteria for when magnetic flows on closed surfaces exhibit Anosov dynamics, using Wojtkowski's quotient bundle to analyze the flow's hyperbolic behavior.
Contribution
It provides necessary and sufficient conditions for Anosov magnetic flows on surfaces, advancing understanding of their dynamical properties.
Findings
Characterization of Anosov magnetic flows on surfaces
Application of Wojtkowski's quotient bundle in flow analysis
Criteria for hyperbolic behavior in magnetic flows
Abstract
Using the quotient bundle introduced by Wojtkowski, we give necessary and sufficient conditions for a magnetic flow on a closed, oriented surface to be Anosov.
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Taxonomy
TopicsTheoretical and Computational Physics · Complex Systems and Time Series Analysis