# American Institute of Mathematical Sciences

July  1999, 5(3): 569-584. doi: 10.3934/dcds.1999.5.569

## Heteroclinic motions joining almost periodic solutions for a class of Lagrangian systems

 1 Dipartimento di Matematica "R. Caccioppoli", Università di Napoli "Federico II" Via Cintia, I-80126 Napoli, Italy 2 Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, I-56127 Pisa, Italy 3 Dipartimento di Matematica, Università di Ancona, Via Brecce Bianche, I-60131 Ancona, Italy

Revised  March 1999 Published  May 1999

We regard second order systems of the form $\ddot q = \nabla_qW(q, t), t\in \mathbb R, q \in \mathbb R^N,$ where $W(q, t)$ is $\mathbb Z^N$ periodic in $q$ and almost periodic in $t$. Variational arguments are used to prove the existence of heteroclinic solutions joining almost periodic solutions to the system.
Citation: Francesca Alessio, Carlo Carminati, Piero Montecchiari. Heteroclinic motions joining almost periodic solutions for a class of Lagrangian systems. Discrete & Continuous Dynamical Systems, 1999, 5 (3) : 569-584. doi: 10.3934/dcds.1999.5.569
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