Hamiltonian elliptic dynamics on symplectic $4$-manifolds
From MaRDI portal
Publication:3605011
DOI10.1090/S0002-9939-08-09578-6zbMath1163.37015arXiv0801.3072MaRDI QIDQ3605011
Publication date: 25 February 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.3072
Periodic orbits of vector fields and flows (37C27) Partially hyperbolic systems and dominated splittings (37D30) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
Related Items (5)
Generic Hamiltonian Dynamical Systems: An Overview ⋮ Generic Hamiltonian dynamics ⋮ On the stability of the set of hyperbolic closed orbits of a Hamiltonian ⋮ Conservative flows with various types of shadowing ⋮ Hamiltonian suspension of perturbed Poincaré sections and an application
Cites Work
- Partial hyperbolicity for symplectic diffeomorphisms
- Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for \(SL(2,\mathbb R )\) cocycles
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Generic dynamics of 4-dimensional \(C^{2}\) Hamiltonian systems
- The C1 Closing Lemma, including Hamiltonians
- Partial hyperbolicity or dense elliptic periodic points for 𝐶¹-generic symplectic diffeomorphisms
- Abundance of elliptic dynamics on conservative three-flows
- Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
- The generic symplectic C^{1}-diffeomorphisms of four-dimensional symplectic manifolds are hyperbolic, partially hyperbolic or have a completely elliptic periodic point
- Genericity of zero Lyapunov exponents
- A pasting lemma and some applications for conservative systems
- The Lyapunov exponents of generic zero divergence three-dimensional vector fields
- Generic Properties of Conservative Systems II
This page was built for publication: Hamiltonian elliptic dynamics on symplectic $4$-manifolds
