Now showing items 1-4 of 4
(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 ...
(World Scientific, 1998)
(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 ...
(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 ...