34 citations · 58 across the 16 of their papers we have counts for
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math.DS2017★ 34 cited
Probabilistic response and rare events in Mathieu's equation under correlated parametric excitation
Mustafa A. Mohamad, Themistoklis P. Sapsis
We derive an analytical approximation to the probability distribution function (pdf) for the response of Mathieu's equation under parametric excitation by a random process with a s…
cs.CE2017
Extreme events and their optimal mitigation in nonlinear structural systems excited by stochastic loads: Application to ocean engineering systems
Han Kyul Joo, Mustafa A. Mohamad, Themistoklis P. Sapsis
We develop an efficient numerical method for the probabilistic quantification of the response statistics of nonlinear multi-degree-of-freedom structural systems under extreme forci…