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

Abstract

We regard second order systems of the form q = ∇qW (q, t), t ∈ R, q ∈ R N , where W (q, t) is 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.

Control of the homoclinic bifurcation in buckled beams: Infinite dimensional vs reduced order modeling

“…The homoclinic bifurcations of infinite dimensional systems can be analytically detected also by the Berti and Carminati [2002] theorem (see also [Alessio et al, 1999]), which indeed is an extension of the H.M. theorem.…”