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- W2083736735 abstract "An approximate method for analysing diffusion processes in a natural mechanical system when there are perturbing forces similar to normal white noise is proposed. It is based on orthogonal expansions of the one-dimensional probability density of the state vector in a suitable Hubert space of functions which are square-integrable with respect to a certain measure in the phase space (manifold) of the system. The method consists of solving a special system of linear ordinary differential equations for the expansion coefficients, and is suitable for computer implementation. The method is rigorously proved. The motion of a two-dimensional mathematical pendulum in a random medium is investigated as an example." @default.
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- W2083736735 date "1992-01-01" @default.
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- W2083736735 title "An approximate method for analysing stochastic mechanical systems" @default.
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- W2083736735 doi "https://doi.org/10.1016/0021-8928(92)90115-o" @default.
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