Non-autonomous curves on surfaces

DOI10.3934/jmd.2021010zbMath1478.37065arXiv1906.07884OpenAlexW3175226168MaRDI QIDQ2046804

Michael Khanevsky

Publication date: 19 August 2021

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07884

zbMATH Keywords

Hamiltonian dynamicsnonautonomous diffeomorphisms

Mathematics Subject Classification ID

Flows on surfaces (37E35) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Related Items (2)

Hofer's geometry and topological entropy ⋮ \(C^0\)-gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces

Cites Work

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• Autonomous Hamiltonian flows, Hofer's geometry and persistence modules
• scl.
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• On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc
• Entropy and quasimorphisms
• On Continuity of Quasimorphisms for Symplectic Maps
• Combinatorial Floer Homology
• Bi-invariant metrics and quasi-morphisms on groups of Hamiltonian diffeomorphisms of surfaces
• On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

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