On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems

Author:

Spencer B. F.,Bergman L. A.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference34 articles.

1. Wang, M. C. and Uhlenbeck, G., ‘On the theory or Brownian motion II’, Reviews of Modern Physics 17, 1945, 323–342. Reprinted in Selected Papers on Noise and Stochastic Processes (N., Wax, ed.), Dover, New York, 1954.

2. Lin, Y. K., Probabilistic Theory of Structural Dynamics, McGraw Hill, New York, 1967.

3. Nigam, N. C., Introduction to Random Vibrations, MIT Press, Cambridge, 1983.

4. Caughey, T. K. and Dienes, J. K., “The behavior of linear systems with white noise input’, Journal of Mathematical Physics 32, 1962, 2476–2479.

5. Caughey, T. K., ‘Derivation and application of the Fokker-Planck equation to discrete nonlinear dynamic systems subjected to white noise excitation’, Journal of the Acoustical Society of America 35, 1963, 1683–1692.

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