Chaotic Orbits for Systems of Nonlocal Equations

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    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

    Fingerprint

    Multibump Solutions
    Integer Points
    Nonlocal Equations
    Symbolic Dynamics
    Periodic Potential
    Homoclinic
    dynamical systems
    integers
    Fractional
    Dynamical system
    Orbit
    trajectories
    Trajectory
    orbits
    Framework

    Cite this

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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.",
    author = "Serena Dipierro and Stefania Patrizi and Enrico Valdinoci",
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    language = "English",
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    Chaotic Orbits for Systems of Nonlocal Equations. / Dipierro, Serena; Patrizi, Stefania; Valdinoci, Enrico.

    In: Communications in Mathematical Physics, Vol. 349, No. 2, 01.01.2017, p. 583-626.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Chaotic Orbits for Systems of Nonlocal Equations

    AU - Dipierro, Serena

    AU - Patrizi, Stefania

    AU - Valdinoci, Enrico

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