Multiple homoclinic orbits for a class of conservative systems
Antonio Ambrosetti, Vittorio Coti Zelati (1993)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Antonio Ambrosetti, Vittorio Coti Zelati (1993)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Antonio Ambrosetti, Marino Badiale (1998)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Massimiliano Berti, Philippe Bolle (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We consider autonomous Lagrangian systems possessing two homoclinic orbits to an hyperbolic equilibrium of saddle-saddle type with two different characteristic exponents. Under a nondegeneracy assumption on the homoclinics and under suitable conditions on the geometric behaviour of these homoclinics near the equilibrium we show, by variational methods, that they give rise to an infinite family of multibump homoclinic solutions. We relax the nondegeneracy assumption when the two characteristic...
Marco Antonio Teixeira (1997)
Publicacions Matemàtiques
Similarity:
In this paper we deal with reversible vector fields on a 2-dimensional manifold having a codimension one submanifold as its symmetry axis. We classify generically the one parameter families of such vector fields. As a matter of fact, aspects of structural stability and codimension one bifurcation are analysed.
Carlo Carminati (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We discuss the existence of closed geodesic on a Riemannian manifold and the existence of periodic solution of second order Hamiltonian systems.
Ugo Bessi (1991)
Rendiconti del Seminario Matematico della Università di Padova
Similarity: