Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas

Wei Chai, Leo Dostal, Arvid Naess & Bernt J. Leira
In this work, the path integration method and the energy-based stochastic averaging method are introduced in order to study the stochastic responses of ship roll motion in random beam seas. Based on the Markov property of the dynamical system, the path integration (PI) method provides approximate solution to the governing Fokker-Planck (FP) equation. On the other hand, the stochastic averaging method leads to a dimension reduction of the original system, but the essential behavior is...
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