Every convex polygon with rational vertices is a rotation set
From MaRDI portal
Publication:4024958
DOI10.1017/S0143385700006787zbMath0774.58022OpenAlexW2014867214MaRDI QIDQ4024958
Publication date: 18 February 1993
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700006787
Related Items (25)
Mode-locking and rotational chaos in networks of oscillators: A mathematical framework ⋮ Topological methods in surface dynamics ⋮ New rotation sets in a family of torus homeomorphisms ⋮ Rotation sets and almost periodic sequences ⋮ Set-oriented numerical computation of rotation sets ⋮ ON ANNULAR MAPS OF THE TORUS AND SUBLINEAR DIFFUSION ⋮ Stability of the rotation set of area-preserving toral homeomorphisms ⋮ Rotational entropy -- a homotopy invariant for torus maps ⋮ Sur les ensembles de rotation des homéomorphismes de surface en genre ≥ 2 ⋮ Rotation sets and rotational entropy for random dynamical systems on the torus ⋮ On the structure of rotation sets in hyperbolic surfaces ⋮ Specific properties of the ODE's flow in dimension two versus dimension three ⋮ Rotation, entropy, and equilibrium states ⋮ How roundoff errors help to compute the rotation set of torus homeomorphisms ⋮ Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior ⋮ Geometry and entropy of generalized rotation sets ⋮ A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps ⋮ On the rotation sets of generic homeomorphisms on the torus ⋮ The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons ⋮ Functions for relative maximization ⋮ Entropy spectrum of rotation classes ⋮ Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall ⋮ Monotonicity of maximal equicontinuous factors and an application to toral flows ⋮ Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland ⋮ Homotopical complexity of a billiard flow on the 3D flat torus with two cylindrical obstacles
Cites Work
This page was built for publication: Every convex polygon with rational vertices is a rotation set