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Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Published online by Cambridge University Press: 05 April 2011
Abstract
We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional torus. Even in the case of purely deterministic perturbations, the long-time behavior of such flows can be stochastic. The stochasticity is caused by instabilities near the saddle points as well as by the ergodic component of the locally Hamiltonian system on the torus.
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- Copyright © Cambridge University Press 2011
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