Serena Dipierro, Stefania Patrizi and Enrico Valdinoci
Chaotic orbits for systems of nonlocal equations
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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, 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.