15-109 Serena Dipierro, Stefania Patrizi and Enrico Valdinoci

Chaotic orbits for systems of nonlocal equations (616K, pdf) Nov 20, 15

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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.

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