Closed characteristics on non-compact hypersurfaces in \(\mathbb {R}^{2n}\)
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Publication:1000582
DOI10.1007/s00208-008-0271-yzbMath1178.53084OpenAlexW1982652822MaRDI QIDQ1000582
Federica Pasquotto, Jan Bouwe Van Den Berg, Robert C. A. M. VanderVorst
Publication date: 9 February 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-008-0271-y
Symplectic manifolds (general theory) (53D05) Global submanifolds (53C40) Contact manifolds (general theory) (53D10)
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Cites Work
- Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems
- A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)
- Convex Hamiltonian energy surfaces and their periodic trajectories
- Periodic solutions of Hamiltonian system on a prescribed energy surface
- Critical point theorems for indefinite functionals
- Periodic orbits for convex hamiltonian systems
- Critical groups of pairs of critical points produced by linking subsets
- Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics
- Galerkin's method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy
- Infinite dimensional Morse theory and multiple solution problems
- A class of periodic orbits in classical mechanics
- The phase-plane picture for a class of fourth-order conservative differential equations
- Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Riemannian manifolds
- Second order Lagrangian Twist systems: simple closed characteristics
- Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians
- Equivariant Morse Theory for Starshaped Hamiltonian Systems
- A smooth counterexample to the Hamiltonian Seifert conjecture in R^6
- Closed characteristics of second-order Lagrangians
- Periodic and homoclinic orbits for Lorentz-Lagranian systems via variational methods
- Periodic solutions of first order singular hamiltonian systems
- Elementary Differential Topology. (AM-54)
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