A Poincaré-Bendixson theorem for translation lines and applications to prime ends

DOI10.4171/CMH/457zbMath1426.37041arXiv1701.04644OpenAlexW2963521215MaRDI QIDQ2416401

Andres Koropecki

Publication date: 23 May 2019

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04644

zbMATH Keywords

prime endssurface dynamics

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Rotation numbers and vectors (37E45)

Related Items (4)

Homotopically unbounded disks for generic surface diffeomorphisms ⋮ Dependency of the positive and negative long-time behaviors of flows on surfaces ⋮ Prime ends dynamics in parametrised families of rotational attractors ⋮ Accessible points rotate as prime ends in backward or forward time

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