Entropy and Completely Integrable Hamiltonian Systems

DOI10.2307/2048626zbMath0738.58023OpenAlexW4211092545MaRDI QIDQ3982147

Gabriel P. Paternain

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2048626

zbMATH Keywords

geodesic flowhomoclinic orbitintegralcompletely integrable Hamiltonian

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Entropy in general topology (54C70) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (10)

On the topology of manifolds with completely integrable geodesic flows. II ⋮ Entropy-expansiveness of geodesic flows on closed manifolds without conjugate points ⋮ Projectively equivalent Finsler metrics on surfaces of negative Euler characteristic ⋮ Flat metrics are strict local minimizers for the polynomial entropy ⋮ Bott‐integrable Reeb flows on 3‐manifolds ⋮ Ergodicity and topological entropy of geodesic flows on surfaces ⋮ Orthogonal separable Hamiltonian systems on \(T^{2}\) ⋮ Polynomial entropies for Bott integrable Hamiltonian systems ⋮ On the non-integrability and dynamics of discrete models of threads ⋮ A Note on Tonelli Lagrangian Systems on $\mathbb{T}^2$ with Positive Topological Entropy on a High Energy Level

Cites Work

• Unnamed Item
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Stable and Random Motions in Dynamical Systems
• THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
• Differentiable dynamical systems
• ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS

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