Instability for the rotation set of homeomorphisms of the torus homotopic to the identity

DOI10.1017/S0143385703000336zbMath1065.37030OpenAlexW1991789326MaRDI QIDQ4663950

Salvador Addas-Zanata

Publication date: 5 April 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385703000336

zbMATH Keywords

instabilityrotation sets

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (5)

Zero entropy and stable rotation sets for monotone recurrence relations ⋮ On stable and unstable behaviour of certain rotation segments ⋮ Stability of the rotation set of area-preserving toral homeomorphisms ⋮ Realization of rotation vectors for volume preserving homeomorphisms of the torus ⋮ The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons

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