In this section, we study the existence of T-periodic solutions for a class of nonautonomous Hamiltonian system using arguments similar to those employed. in Section

RABINOEITZ, Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials, J. GIANNONI, On the existence of homoclinic orbits on

SÉRÉ, A variational approach to homoclinic orbits in Hamiltonian systems, Math. NOLASCO, Multibump homoclinic solutions for

Caldiroli, A New Proof of the Existence of Homoclinic Orbits for a Class of Autonomous Second Order Hamiltonian Systems in R N.. Montecchiari, Homoclinic orbits for second

Key words : Hamiltonian systems, convexity, dual variational methods, concentration- compactness, homoclinic orbits, Bernoulli shift, topological entropy,

For symplectic paths on bounded intervals, the index theory has been completely established, which revealed tremendous applications in the study of periodic orbits of

We use the Saddle Point Theorem to obtain existence of solutions for a finite time interval, and then we obtain heteroclinic orbits as limit of them.. Our hypothesis

RABINOWITZ, Homoclinic orbits for a second order Hamiltonian systems possessing superquadratic potentials, Jour. LASRY, On the number of closed trajectories for

VAN DER VORST, Existence and non existence of nonlinear elliptic systems and the bi-harmonic equation, Differential Integral Equations. PRÜSS, Evolutionary

Nolasco, Multibump homoclinic solutions for a class of second order, almost periodic Hamiltonian systems, Nonlinear Diff.. Coti Zelati

Key words : Normal forms, exponentially small phenomena, invariant manifolds, Gevrey, 02 iω, hamiltonian systems, homoclinic orbits with several loops, generalized solitary waves,

MONTECCHIARI, Existence and multiplicity of homoclinic solutions for a class of asymptotically periodic second order Hamiltonian Systems, Preprint, SISSA, 1993. [7]

Variational methods provide interesting existence results on homoclinic orbits to hyperbolic fixed points of Hamiltonian systems under global conditions.. The early result of

Moscow Math. SÉRÉ, Existence of infinitely many homoclinic orbits in Hamiltonian systems, Math. SÉRÉ, Looking for the Bernoulli Shift, Ann. TANAKA, A note on the

TOLAND, On the Existence of Homoclinic Heteroclinic and Periodic Solutions for a Class of Indefinite Hamiltonian Systems, Math. KOZLOV, Calculus of Variations in the Large

MARINO, Periodic solutions of dynamical systems with Newtonian type potentials, Periodic solutions of Hamiltonian systems and related topics, P. RABINOWITZ et

However, although we do not explicitly handle exponentially small quantities, the result obtained in the present paper is “stronger” than the one obtained in [ 18 ] since theorem

Several recent papers ([1]-[9]) have studied the existence of multiple periodic solutions of second order Hamiltonian systems which are both forced periodically in