Special Session 75: 

Heteroclinic connections and chaotic orbits for nonlocal equations

Stefania Patrizi
UT Austin
USA
Co-Author(s):    E. Valdinoci, S. Dipierro
Abstract:
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, heteroclinic, homoclinic and chaotic trajectories are constructed. The description of the stationary positions for the atom dislocation function in a perturbed crystal, as given by the Peierls-Nabarro model, is a particular case of the result presented.