Hyperbolic characteristics on star-shaped hypersurfaces
From MaRDI portal
Publication:1961845
DOI10.1016/S0294-1449(00)88185-8zbMath0988.37078OpenAlexW2042739506MaRDI QIDQ1961845
Publication date: 3 April 2000
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1999__16_6_725_0
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Symplectic and contact topology in high or arbitrary dimension (57R17) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items
Existence of multiple periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \({\mathbb{R}}^{2n}\), Stability of subharmonic solutions of first-order Hamiltonian systems with anisotropic growth, Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\), Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond, Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\), Starshaped sets, Iteration inequalities of the Maslov \(P\)-index theory with applications, Stable closed characteristics on partially symmetric convex hypersurfaces, Multiple brake orbits in bounded convex symmetric domains, Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\), Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics, Iteration inequalities of the Maslov-type index theory with applications
Cites Work
- Une théorie de Morse pour les systèmes hamiltoniens convexes
- Forced vibrations of superquadratic Hamiltonian systems
- Convex Hamiltonian energy surfaces and their periodic trajectories
- Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
- On the hypotheses of Rabinowitz' periodic orbit theorems
- Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\)
- Bott formula of the Maslov-type index theory
- A Maslov-type index theory for symplectic paths
- Infinite dimensional Morse theory and multiple solution problems
- Espaces de Krein et index des systèmes hamiltoniens. (Krein spaces and index of Hamiltonian systems)
- Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
- Equivariant Morse Theory for Starshaped Hamiltonian Systems
- Location, multiplicity and Morse indices of min-max critical points.
- Periodic solutions of hamiltonian systems
- The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
- Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
- Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
- Periods of Periodic Solutions and the Lipschitz Constant
- An optimal increasing estimate of the iterated Maslov-type indices
- Unnamed Item
- Unnamed Item
- Unnamed Item