The sea-wave elevation and multistability in a non-autonomous nonlinear Itô's stochastic differential equation for the rolling angle of a ship

DOI10.1016/J.APM.2009.02.014zbMath1205.86018OpenAlexW2008824319WikidataQ115360500 ScholiaQ115360500MaRDI QIDQ965521

B. E. Eshmatov

Publication date: 24 April 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.02.014

zbMATH Keywords

nonlinearitymultistabilityItô's stochastic differential equationelevation of sea wavesrolling angle of a ship

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Hydrology, hydrography, oceanography (86A05)

Cites Work

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• An analytical-numerical method for fast evaluation of probability densities for transient solutions of nonlinear Itô's stochastic differential equations
• On unpredictable ship rolling in irregular seas
• Dynamic-equilibrium solutions of ordinary differential equations and their role in applied problems
• Stability and capsizing of ships in random sea -- a survey
• Markov modelling and stochastic identification for nonlinear ship rolling in random waves
• MODELLING OF HIGH-DIMENSIONAL DIFFUSION STOCHASTIC PROCESS WITH NONLINEAR COEFFICIENTS FOR ENGINEERING APPLICATIONS — PART II: APPROXIMATIONS FOR COVARIANCE AND SPECTRAL DENSITY OF STATIONARY PROCESS

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