A note on the bounded orbit conjecture

2025/04/13 by Enhui Shi, Shi, Enhui, Ziqi Yu +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Mathematics and Applications #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2504.09539

Abstract

If f:ℝ²→ ℝ² is an orientation reversing fixed point free homeomorphism on the plane ℝ² with no unbounded orbit, then f has infinitely many periodic orbits.

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