Saddle connections in planar systems
Scattered homoclinics to a class of time-recurrent Hamiltonian systems
A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.
Singular problems on the half-line
The paper investigates singular nonlinear problems arising in hydrodynamics. In particular, it deals with the problem on the half-line of the form
Soluzioni di tipo «multibump» e dinamiche caotiche in una classe di equazioni differenziali periodiche
Some remarks on the Melnikov function.
Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom.