Chaotic Orbits for Systems of Nonlocal Equations

Serena Dipierro; Stefania Patrizi; Enrico Valdinoci

doi:10.1007/s00220-016-2713-9

Chaotic Orbits for Systems of Nonlocal Equations

Serena Dipierro, Stefania Patrizi, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

13 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 language	English
Pages (from-to)	583-626
Number of pages	44
Journal	Communications in Mathematical Physics
Volume	349
Issue number	2
DOIs	https://doi.org/10.1007/s00220-016-2713-9
Publication status	Published - 1 Jan 2017

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10.1007/s00220-016-2713-9

https://arxiv.org/pdf/1511.06799.pdf

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AB - 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.

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Chaotic Orbits for Systems of Nonlocal Equations

Abstract

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