Chaotic Orbits for Systems of Nonlocal Equations

被引：0
|
作者：
Serena Dipierro
Stefania Patrizi
Enrico Valdinoci
机构：
[1] University of Melbourne,School of Mathematics and Statistics
[2] University of Western Australia,School of Mathematics and Statistics
[3] The University of Texas at Austin,Department of Mathematics
[4] Weierstraß Institut für Angewandte Analysis und Stochastik,Dipartimento di Matematica
[5] Università degli studi di Milano,Istituto di Matematica Applicata e Tecnologie Informatiche
[6] Consiglio Nazionale delle Ricerche,undefined
来源：
Communications in Mathematical Physics | 2017年 / 349卷
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摘要：
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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页码：583 / 626
页数：43
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