... Weibull distribution stochastic processes failure (mechanical) Contrary to common sense, the ratio of length scales on the meso- and macro-levels R = C * ∕ L does not appear in the governing equations. This looks very abnormal at first sight. Actually, the imposed Deborah number...

... , 153 – 194 . Budgor AB ( 1976 ), Studies in non-linear stochastic processes, I: Approximate solutions of non-linear stochastic differential equations by the method of statistical linearization , J. Stat. Phys. 15 ( 5 ), 355 – 375 . Budgor AB , Lindenberg K , and Shuler...

.... Some technical problems in this area are pointed out. The objective of this review is to excite more research in nonlinear dynamic systems. There are 47 references cited in this review article. 10 06 2004 nonlinear dynamical systems history stochastic processes resonance numerical...

.... Mech. 120 , 2478 – 2497 . Rice SO (1954), Mathematical analysis of random noise, Selected Papers on Noise and Stochastic Processes , N Wax (ed), Dover, NY, 133–294. Shinozuka M ( 1971 ), Simulation of multivariate and multidimensional random processes , J. Acoust. Soc. Am. 49...