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

Pages: 569 - 584, Volume 5, Issue 3, July 1999

doi:10.3934/dcds.1999.5.569       Abstract        Full Text (272.8K)       Related Articles

Francesca Alessio - Dipartimento di Matematica "R. Caccioppoli", Università di Napoli "Federico II" Via Cintia, I-80126 Napoli, Italy (email)
Carlo Carminati - Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, I-56127 Pisa, Italy (email)
Piero Montecchiari - Dipartimento di Matematica, Università di Ancona, Via Brecce Bianche, I-60131 Ancona, 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.
Mathematics Subject Classification:   34C37, 58Exx, 58Fxx.

Revised: March 1999;      Published: May 1999.