Iteration inequalities of the Maslov-type index theory with applications
From MaRDI portal
Publication:1584729
DOI10.1006/jdeq.2000.3775zbMath0961.37017OpenAlexW2036579985MaRDI QIDQ1584729
Publication date: 6 February 2001
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3775
Related Items
Minimal \(P\)-symmetric period problem of first-order autonomous Hamiltonian systems, Minimal \(\mathcal{M} \)-symmetric periodic solutions of general Hamiltonian systems and delay differential equations, Subharmonic \(P^{l}\)-solutions of first order Hamiltonian systems, The existence of two closed geodesics on every Finsler 2-sphere, Subharmonic solutions of Hamiltonian systems and the Maslov-type index theory, Periodic solutions for second-order even and noneven Hamiltonian systems, Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems, Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\), Index iteration theories for periodic orbits: old and new, Symplectically degenerate maxima via generating functions, A note on the minimal periodic solutions of nonconvex superlinear Hamiltonian system, Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems, Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems, Minimal periodic problem for brake orbits of first-order Hamiltonian systems, Iteration inequalities of the Maslov \(P\)-index theory with applications, Subharmonic solutions and minimal periodic solutions of first-order Hamiltonian systems with anisotropic growth, Index iteration theory for symplectic paths and multiple periodic solution orbits, Minimal period estimates on \(P\)-symmetric periodic solutions of first-order mild superquadratic Hamiltonian systems, The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems, Periodic solutions with prescribed minimal period for second order even Hamiltonian systems, Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem, Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities, Transversality for local Morse homology with symmetries and applications, The Rabinowitz minimal periodic solution conjecture, Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new obstruction to embedding Lagrangian tori
- Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
- Periodic solutions of convex autonomous Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity
- On the average indices of closed geodesics
- Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
- Indexing domains of instability for Hamiltonian systems
- Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\)
- The Maslov index for paths
- The minimal period problem of classical Hamiltonian systems with even potentials
- The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems
- On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems
- A Maslov-type index theory for symplectic paths
- Subharmonic solutions of Hamiltonian systems
- Infinite dimensional Morse theory and multiple solution problems
- Hyperbolic characteristics on star-shaped hypersurfaces
- Multiple periodic points of the Poincaré map of Lagrangian systems on tori
- On the iteration of closed geodesics and the sturm intersection theory
- Periodic solutions of hamiltonian systems
- On the index theories for second order Hamiltonian systems
- The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
- Minimal period solutions of nonlinear hamiltonian systems
- Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations