Heteroclinic motions joining almost periodic solutions for a class of Lagrangian systems
Francesca Alessio - Dipartimento di Matematica "R. Caccioppoli", Università di Napoli "Federico II" Via Cintia, I-80126 Napoli, Italy (email)
Abstract: 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.
Keywords: Almost periodic Lagrangian systems, almost periodic solutions, heteroclinic, variational methods.
Revised: March 1999; Published: May 1999.
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