Relative Morse index and multiple homoclinic orbits for a nonperiodic Hamiltonian system

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lagrangian submanifolds; Maslov index (53D12) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

Unnamed Item
Unnamed Item
Homoclinic orbits for a class of nonperiodic Hamiltonian systems with some twisted conditions
Homoclinic orbits for first order periodic Hamiltonian systems with spectrum point zero
Homoclinic orbits for a class of nonperiodic Hamiltonian systems
A note on the relations between the various index theories
Une théorie de Morse pour les systèmes hamiltoniens convexes
A variational approach to homoclinic orbits in Hamiltonian systems
Homoclinic orbits for first order Hamiltonian systems with some twist conditions
A new index theory for linear self-adjoint operator equations and its applications
The relative Morse index theory for infinite dimensional Hamiltonian systems with applications
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition
Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations
Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits
A Maslov-type index theory for symplectic paths
On the eigenvalues of operators with gaps. Application to Dirac operators
Infinite dimensional Morse theory and multiple solution problems
Homoclinic orbits of a Hamiltonian system
Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems
Homoclinic orbits for first order Hamiltonian systems
Index theory for symplectic paths with applications
Maslov-type index theory for symplectic paths and spectral flow. II
Maslov-type index theory for symplectic paths and spectral flow. I
Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in \(\mathbb{R}^{2n} \)
Homoclinic orbits for a nonperiodic Hamiltonian system
Maslov index for homoclinic orbits of Hamiltonian systems
Deformation theorems on non-metrizable vector spaces and applications to critical point theory
Infinitely many homoclinic orbits of a Hamiltonian system with symmetry
Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
MULTIPLE HOMOCLINICS IN A HAMILTONIAN SYSTEM WITH ASYMPTOTICALLY OR SUPER LINEAR TERMS
Maslov-Type Index Theory For Symplectic Paths With Lagrangian Boundary Conditions
Existence of infinitely many homoclinic orbits in Hamiltonian systems
Homoclinic orbits for asymptotically linear Hamiltonian systems