A class of nonlinear oscillatory systems for which the Fokker-Planck-Kolmogorov equation admits an exact solution

Authors: Yurii Alekseevich Mitropol'skii, Nguyễn Tiến Khiêm,

https://doi.org/10.1007/BF01061815

Publisher, magazine: ,

Publication year: 1991

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Abstract

It is shown that the Fokker-Planck-Kolmogorov equation in amplitude and phase variables can be reduced to a first-order partial differential equation which admits exact integration for a large class of essentially nonlinear oscillational systems.

Tags: Differential Equation, Exact Solution, Partial Differential Equation, Large Class, Phase Variable.