Chaotic orbits for systems of nonlocal equations
Analysis of PDEs
2016-08-24 v2
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. 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.
Cite
@article{arxiv.1511.06799,
title = {Chaotic orbits for systems of nonlocal equations},
author = {Serena Dipierro and Stefania Patrizi and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1511.06799},
year = {2016}
}