Polynomial entropies for Bott integrable Hamiltonian systems

DOI10.1134/S1560354714030083zbMath1308.70025MaRDI QIDQ2513978

Clémence Labrousse, Jean-Pierre Marco

Publication date: 29 January 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

entropyintegrabilitydynamical complexityBott integrable Hamiltonians

Mathematics Subject Classification ID

Related Items (16)

An entropic characterization of the flat metrics on the two torus ⋮ Polynomial entropy and polynomial torsion for fibered systems ⋮ Polynomial entropy of amenable group actions for noncompact sets ⋮ Polynomial entropy of Morse-Smale diffeomorphisms on surfaces ⋮ Polynomial entropy of induced maps of circle and interval homeomorphisms ⋮ Variational principle for polynomial entropy on subsets of free semigroup actions ⋮ Global diffusion on a tight three-sphere ⋮ Polynomial entropy of subsets for free semigroup actions ⋮ Polynomial entropy and expansivity ⋮ Open problems in the theory of finite-dimensional integrable systems and related fields ⋮ Automorphisms of compact Kähler manifolds with slow dynamics ⋮ Entropy of billiard maps and a dynamical version of the Birkhoff conjecture ⋮ Categorical polynomial entropy ⋮ Polynomial entropy of nonautonomous dynamical systems for noncompact sets ⋮ Slow volume growth for Reeb flows on spherizations and contact Bott–Samelson theorems ⋮ Scaled entropy for dynamical systems

Cites Work

• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Integrable geodesic flows with positive topological entropy
• Flat metrics are strict local minimizers for the polynomial entropy
• Polynomial entropies and integrable Hamiltonian systems
• A proof of the Morse-Bott lemma.
• Positive-entropy integrable systems and the Toda lattice, II
• Topology and stability of integrable systems
• On global action-angle coordinates
• Entropy and Completely Integrable Hamiltonian Systems
• Polynomial growth of the volume of balls for zero-entropy geodesic systems
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