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nlin.CD2015★ 3 cited
Probing the statistics of transport in the Hénon Map
Or Alus, Shmuel Fishman, James D. Meiss
The phase space of an area-preserving map typically contains infinitely many elliptic islands embedded in a chaotic sea. Orbits near the boundary of a chaotic region have been obse…
nlin.CD2015
Numerical implementation of the multiscale and averaging methods for quasi periodic systems
Tal Kachman, Shmuel Fishman, Avy Soffer
We consider the problem of numerically solving the Schrödinger equation with a potential that is quasi periodic in space and time. We introduce a numerical scheme based on a newly…