(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Dipierro, Serena; Patrizi, Stefania; Valdinoci, Enrico
We consider a system of nonlocal equations driven by a perturbed
periodic potential. We construct multibump solutions that connect one integer
point to another one in a prescribed way. In particular, heteroclinc,
homoclinic and chaotic trajectories are constructed. This is the first
attempt to consider a nonlocal version of this type of dynamical systems in a
variational setting and the first result regarding symbolic dynamics in a
fractional framework.
