Determination of minimum required damping in stochastic following seas modeled by using Gaussian white noise

DOI10.1016/j.cnsns.2012.05.012zbMath1268.60093OpenAlexW2032909794MaRDI QIDQ1948220

M. T. Söylemez, E. Üçer

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.05.012

zbMATH Keywords

Lyapunov functionGaussian white noisenonlinear dampingsafe basinfollowing seasstochastic rolling motion

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Uses Software

• Ziggurat
• rnorrexp

Cites Work

• Modeling with Itô Stochastic Differential Equations
• The Boundedness of Solutions of a Liénard Equation Arising in the Theory of Ship Rolling
• On the stability of the trajectory of markov processes

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