Existence of Homoclinic Solutions for a Class of Time-Dependent Hamiltonian Systems Page
1 Ž . Journal of Mathematical Analysis and Applications 230, 157172 1999 Article ID …

Infinitely Many Homoclinic Orbits for the Second-Order Hamiltonian Systems Page 1 Available
at www.ElsevierMathematics.com Applied DIRCCt- Applied Mathematics Letters 16 (2003) …

Publisher Summary This chapter presents some variational formulations for the problems of
periodic solutions and connecting orbits and surveys some of the representative problems …

Reaction–diffusion systems serve as relevant models for studying complex patterns in
several fields of nonlinear sciences. A localized pattern is a stable non-constant stationary …

A geometric criterion for the existence of chaotic trajectories of a reversible Hamiltonian
system with the configuration spaceT× N, withNa compact manifold, is given. The main result …

This paper deals with perturbed dynamical systems of the form:− ü+ u=∇ V (u)+ ϵ∇ uW (t,
u) where u (t)∈ IRn (n≥ 1). By means of a variational approach the existence of multibump …

The existence is proved, by means of variational arguments, of infinitely many heteroclinic
solutions connecting possibly degenerate equilibria for a class of almost periodic …

(P*) with T-periodic forcing term h with zero mean value and bounded potential G# C1 (R; R)
has been widely studied, under various assumptions on G, h and T by the use of topological …

We prove the existence of infinitely many homoclinic solutions for a class of second order
Hamiltonian systems in \BbbR^N of the form ̈q=qW'(t,q), where we assume the existence of …

Multibump homoclinic solutions for a class of second order, almost periodic Hamiltonian
systems Page 1 NoDEA Nonlinear differ. equ. appl. 4 (1997) 77 – 99 1021-9722/97/010077-23 …