45 citations · 138 across the 6 of their papers we have counts for
7 papers
Resonance-Driven Intermittency and Extreme Events in Turbulent Scalar Transport with a Mean Gradient
Mustafa A Mohamad, Di Qi
We study the statistical properties of passive tracer transport in turbulent flows with a mean gradient, emphasizing tracer intermittency and extreme events. An analytically tracta…
A sequential sampling strategy for extreme event statistics in nonlinear dynamical systems
Mustafa A. Mohamad, Themistoklis P. Sapsis
We develop a method for the evaluation of extreme event statistics associated with nonlinear dynamical systems, using a small number of samples. From an initial dataset of design p…
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…
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…
Heavy-tailed response of structural systems subjected to stochastic excitation containing extreme forcing events
Han Kyul Joo, Mustafa A. Mohamad, Themistoklis P. Sapsis
We characterize the complex, heavy-tailed probability distribution functions (pdf) describing the response and its local extrema for structural systems subjected to random forcing…
A probabilistic decomposition-synthesis method for the quantification of rare events due to internal instabilities
Mustafa A. Mohamad, Will Cousins, Themistoklis P. Sapsis
We consider the problem of probabilistic quantification of dynamical systems that have heavy-tailed characteristics. These heavy-tailed features are associated with rare transient…
Probabilistic description of extreme events in intermittently unstable systems excited by correlated stochastic processes
Mustafa A. Mohamad, Themistoklis P. Sapsis
In this work, we consider systems that are subjected to intermittent instabilities due to external stochastic excitation. These intermittent instabilities, though rare, have a larg…