... excitation. damping Fokker-Planck equation impact (mechanical) stochastic processes white noise 26 07 2009 25 07 2010 09 09 2010 04 11 2010 04 11 2010 2011 American Society of Mechanical Engineers ...

... for an expected time interval between outbreaks in the intermittent response. 08 01 2007 08 10 2008 05 03 2009 Fokker-Planck equation Markov processes partial differential equations probability stability Classical definitions of stability and instability deal with long-term...

... 14 05 2008 Fokker-Planck equation perturbation theory Poisson distribution random processes white noise While Gaussian random processes provide efficient models of various environmental actions, for a broader class of random excitations, such as random pulse trains...

... averaging, the procedure relies on the Markovian modeling of the response envelope process through the definition of an equivalent linear system with response-dependent parameters. An approximate solution of the associated Fokker-Planck equation is derived by resorting to a Galerkin scheme. Specifically...

... publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 02 October 2003 13 April 2004 09 11 2004 stochastic systems asymptotic stability Lyapunov matrix equations stochastic processes linear systems bifurcation Fokker-Planck equation perturbation techniques...

... Solution of Fokker-Planck Equation in Higher Dimension ,” Prob. Eng. Mech. , 3 , pp. 196 – 206 . Stratonovich, R. L., 1963, Topics in the Theory of Random Noise , Vol. 1, Gordon and Breach, New York. Sobczyk , K. , and Trebicki , J. , 1990 , “ Maximum Entropy Principle in Stochastic...