Boundaries of rotation sets for homeomorphisms of the 𝑛-torus

DOI10.1090/S0002-9939-96-03426-0zbMath0859.54033MaRDI QIDQ4717100

Russell B. Walker, Richard C. Swanson

Publication date: 1 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

rotation setclosed convex hull\(n\)-torus homeomorphism

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Topologically conjugate classifications of the translation actions on low-dimensional compact connected Lie groups ⋮ Directions for structurally stable flows on surfaces via rotation vectors

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations and stability of families of diffeomorphisms
• The rotation set of a homeomorphism of the annulus is closed
• Rotation Sets for Maps of Tori
• Realizing Rotation Vectors for Torus Homeomorphisms
• Rotation shadowing properties of circle and annulus maps

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