Rotational entropy -- a homotopy invariant for torus maps

DOI10.1016/j.jde.2023.10.046OpenAlexW4388545377MaRDI QIDQ6140121

Zhengxing Lian, Wei-Feng Jiang, Yu Jun Zhu

Publication date: 19 January 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.10.046

zbMATH Keywords

homotopy invariantrotational entropytorus map

Mathematics Subject Classification ID

Continuous maps (54C05) Topological entropy (37B40) Rotation numbers and vectors (37E45)

Related Items (1)

Generalized rotation sets and rotational entropy for circle maps

Cites Work

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• Rotational entropy for annulus homeomorphisms
• Bifurcations and stability of families of diffeomorphisms
• The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons
• Rotation Sets for Maps of Tori
• Every convex polygon with rational vertices is a rotation set
• Periodic Orbits and the Continuity of Rotation Numbers
• Asymptotic entropy, periodic orbits, and pseudo-Anosov maps
• Rotation and entropy
• On the rotation sets of generic homeomorphisms on the torus
• Stability of the rotation set of area-preserving toral homeomorphisms
• Rational polygons as rotation sets of generic homeomorphisms of the two torus

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