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Talk Abstract
Chaotic and Homoclinic Behavior in PDE's

David McLaughlin, Courant Institute, NYU

Homoclinic behavior in integrable PDE's can be used as a starting point to understand and organize the chaotic behavior which is observed under perturbations. This talk will summarize analytical results on the persistence of homoclinic orbits under damped-driven and hamiltonian perturbations. These analytical results will be correlated with numerical observations, emphasizing new experiments (i) without even symmetry in space, and (ii) for large extended spatial domains. The latter is important for the coexistence of spatial and temporal chaos.

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