Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
نویسندگان
چکیده
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 the instabilities near the saddle points as well as by the ergodic component of the locally Hamiltonian system on the torus.
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