Prescribed energy connecting orbits for gradient systems

Francesca Alessio, Piero Montecchiari, Andres Zuniga

We are concerned with conservative systems $\ddot{q}=\nabla V(q),q\in {\mathbb{R}}^N$ for a general class of potentials $V\in C^1({\mathbb{R}}^N)$. Assuming that a given sublevel se…