Stochastic linearization: What is available and what is not

Computers and Structures

Volumn 67, Issue 1-3, 1998, Pages 9-18

  Bernard, Pierre ^a  

^a UNIVERSITÉ BLAISE PASCAL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INVARIANCE; LINEAR SYSTEMS; NONLINEAR SYSTEMS; PROBABILITY; RANDOM PROCESSES;

DUFFING OSCILLATOR; GAUSSIAN LINEARIZATION; LINEAR OSCILLATOR; STOCHASTIC LINEARIZATION;

LINEARIZATION;

EID: 0032044720     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(97)00151-X     Document Type: Article

References (6)

1. Alaoui, M., Bernard, P., Asymptotic Analysis and Linearization of the Randomly Perturbated Two-wells Duffing Oscillator, Prob. Eng. Mech., 12, 3, pp. 171-178, 1997.
2. Bernard, P., Wu, L., Stochastic Linearization: The Theory, to appear.
3. Freidlin, M. I., Wentzell, A. D., Random Perturbations of Dynamical Systems. Springer-Verlag, 1984.
4. Kozin, F., The Method of Statistical Linearization for Non-Linear Stochastic Vibrations. In Nonlinear Stochastic Dynamic Engineering Systems, ed. F. Ziegler, G. I. Schuëller. Springer Verlag, 1987.
5. Roberts, J. B., Spanos, P. D., Random Vibration and Statistical Linearization. J. Wiley & Sons, 1990.
6. Varadhan, S. R. S., Large Deviations and Applications, Vol. 46. SIAM Publications, 1984.