Hill’s formula for $g$-periodic trajectories of Lagrangian systems

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Lagrange's equations (70H03)

Related Items

Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions ⋮ Trace formula for linear Hamiltonian systems with its applications to elliptic Lagrangian solutions

Cites Work

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Spectral properties of operators with polynomial invariants in real finite-dimensional spaces
Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard
Conditional Fredholm determinant for the $S$-periodic orbits in Hamiltonian systems
On the mechanism of stability loss
The Hill determinant of a periodic orbit
Chaotic trajectories in the standard map. The concept of anti- integrability
Symmetric trajectories for the $2N$-body problem with equal masses
Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem
Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit
Iterated index formulae for closed geodesics with applications.
Index theory for symplectic paths with applications
On the existence of collisionless equivariant minimizers for the classical $n$-body problem
Stability of minimal periodic orbits.
Maximizing orbits for higher-dimensional convex billiards
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
Introduction to the Perturbation Theory of Hamiltonian Systems
On the iteration of closed geodesics and the sturm intersection theory
Hill's formula
Multibump orbits near the anti-integrable limit for Lagrangian systems
Morse Theory. (AM-51)
Integrable maps
Cantori for symplectic maps near the anti-integrable limit
A remarkable periodic solution of the three-body problem in the case of equal masses

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