Hamiltonian suspension of perturbed Poincaré sections and an application
From MaRDI portal
Publication:2877364
DOI10.1017/S0305004114000140zbMath1333.37084MaRDI QIDQ2877364
Publication date: 22 August 2014
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Canonical transformations in symplectic and contact geometry (53D22) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
Related Items
Hyperbolicity or zero Lyapunov exponents for \(C^2\)-Hamiltonians ⋮ On shadowing and hyperbolicity for geodesic flows on surfaces
Cites Work
- Universal dynamics in a neighborhood of a generic elliptic periodic point
- Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
- Persistence of homoclinic tangencies for area-preserving maps
- Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows.
- Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- Hamiltonian suspensions of symplectomorphisms: an alternative approach to design problems
- Generic dynamics of 4-dimensional \(C^{2}\) Hamiltonian systems
- Hamiltonian systems: Generic properties of closed orbits and local perturbations
- Stability properties of divergence-free vector fields
- On the stability of the set of hyperbolic closed orbits of a Hamiltonian
- Hamiltonian elliptic dynamics on symplectic $4$-manifolds
- Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
- Abundance of elliptic isles at conservative bifurcations
- Open questions leading to a global perspective in dynamics