Chaotic orbits for systems of nonlocal equations
- Dipierro, Serena
- Patrizi, Stefania
- Valdinoci, Enrico
2010 Mathematics Subject Classification
- 35R11 34C28
- homoclinic and heteroclinic connections, chaotic orbits, symbolic dynamics, fractional operators
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.
- Comm. Math. Phys., (2016) pp. 1--44.