Chaotic Orbits for Systems of Nonlocal Equations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-01

AUTHORS

Serena Dipierro, Stefania Patrizi, Enrico Valdinoci

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. More... »

PAGES

583-626

References to SciGraph publications

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  • 1992-01. Existence of infinitely many homoclinic orbits in Hamiltonian systems in MATHEMATISCHE ZEITSCHRIFT
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    http://scigraph.springernature.com/pub.10.1007/s00220-016-2713-9

    DOI

    http://dx.doi.org/10.1007/s00220-016-2713-9

    DIMENSIONS

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