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most citedProbabilistic response and rare events in Mathieu's equation under correlated parametric excitation

34 citations · 57 across the 12 of their papers we have counts for

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math.DS2019★ 3 cited

Machine-Learning Ocean Dynamics from Lagrangian Drifter Trajectories

Nikolas O. Aksamit, Themistoklis P. Sapsis, George Haller

Lagrangian ocean drifters provide highly accurate approximations of ocean surface currents but are sparsely located across the globe. As drifters passively follow ocean currents, t…

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…