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
DOI
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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