WIAS Preprint No. 2182, (2015)

Chaotic orbits for systems of nonlocal equations



Authors

  • Dipierro, Serena
  • Patrizi, Stefania
  • Valdinoci, Enrico
    ORCID: 0000-0001-6222-2272

2010 Mathematics Subject Classification

  • 35R11 34C28

Keywords

  • homoclinic and heteroclinic connections, chaotic orbits, symbolic dynamics, fractional operators

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.

Appeared in

  • Comm. Math. Phys., (2016) pp. 1--44.

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