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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 3, Pages 414–419
(Mi tmf1749)
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Evolution of a simple dynamical system in a random field
M. Kh. Kharrasov Bashkir State University
Abstract:
The solution of the Fokker–Planck equation for a nonlinear dynamical system is considered in the framework of perturbation theory. On the basis of uniform estimates, we find a condition for the applicability of the Gaussian approximation of solutions in the neighborhood of an asymptotically stable point of a deterministic system.
Received: 13.01.1991 Revised: 11.05.1993
Citation:
M. Kh. Kharrasov, “Evolution of a simple dynamical system in a random field”, TMF, 97:3 (1993), 414–419; Theoret. and Math. Phys., 97:3 (1993), 1382–1385
Linking options:
https://www.mathnet.ru/eng/tmf1749 https://www.mathnet.ru/eng/tmf/v97/i3/p414
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