Now showing items 1-9 of 9
Homoclinic solutions of quasiperiodic Lagrangian systems
(Khayyam Publishing, 1995)
We consider quasiperiodic positive definite Lagrangian systems and establish the existence of one or more solutions homoclinic (namely asymptotic as $t o \pm \infty$) to a quasiperiodic solution. These results are obtained ...
Forced oscillations for singular dynamical systems with an application to the restricted three body problem
We consider forced dynamical systems with two degrees of freedom having singular potentials and we prove existence of infinitely many classical (noncollision) periodic solutions. These solutions have a prescribed rotation ...
Doubly asymptotic trajectories of Lagrangian systems in homogeneous force fields
(Springer Verlag (Germany), 1998)
We study Lagrangian systems with symmetry under the action of a constant generalized force in the direction of the symmetry field. After Routh's reduction, such systems become nonautonomous with Lagrangian quadratic in ...
Doubly asymptotic trajectories of Lagrangian systems and a problem by Kirchhoff
(European Mathematical Society, 1997)
We consider Lagrangian systems with Lagrange functions which exhibit a quadratic time dependence. We prove the existence of infinitely many solutions tending, as t → ± ∞, to an «equilibrium at infinity». This result is ...
Homoclinics for Lagrangian systems on Riemannian manifolds
(Dynamic Publishers Atlanta, 1992)
Connecting orbits for some classes of almost periodic Lagrangian systems
The existence is proved, by means of variational arguments, of infinitely many heteroclinic solutions connecting possibly degenerate equilibria for a class of almost periodic Lagrangian system. An analogous multiplicity ...
Multiplicity of homoclinic solutions for singular second order conservative systems
(Cambridge University Press (CUP), 1996)
We consider a class of second-order systems , with q(t) ∊ℝn, for which the potential energy V: ℝn\S→ℝ admits a (possibly unbounded) singular set S ⊂ℝn and has a unique absolute maximum at 0 ∈ℝn. Under some conditions on S ...
Multibump solutions to possibly degenerate equilibria of almost periodic Lagrangian systems
(Springer Verlag (Germany), 1999)
We study via variational methods some chaotic features of a class of almost periodic Lagrangian systems on a torus. In particular we show that slowly oscillating perturbations of such systems admit a multibump dynamics ...