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, heteroclinic, 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.

    Original languageEnglish
    Pages (from-to)583-626
    Number of pages44
    JournalCommunications in Mathematical Physics
    Volume349
    Issue number2
    DOIs
    Publication statusPublished - 1 Jan 2017

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