Random perturbations of invariant Lagrangian tori of Hamiltonian vector fields

Monvel, Anne Boutet de; Dobrokhotov, S. Yu.

doi:10.1007/bf02316293

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2005

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“…We note that semiclassical asymptotics of the FPK equations concentrated on the invariant Lagrange tori were examined in [32].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Fokker-Planck-Kolmogorov Equation in the Semiclassical Coherent Trajectory Approximation

et al. 2005

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A semiclassical asymptotic of the Cauchy problem is constructed for the two-dimensional Fokker-Planck equation with nonlocal nonlinearity in the class of trajectory concentrated functions based on the complex WKB-Maslov method. The system of Einstein-Ehrenfest equations describing the dynamics of average values of the coordinate operator and centered moments is derived. The results obtained are illustrated by a number of examples.

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“…We note that semiclassical asymptotics of the FPK equations concentrated on the invariant Lagrange tori were examined in [32].…”

Section: Introductionmentioning

confidence: 99%