4. Caldeira-Sariava, F.: The boundedness of solutions of a Leinard Equation arising in the theory of ship rolling. IMA J. Appl. Math, 36, pp. 126–139.10.1093/imamat/36.2.129
5. Chai W., Naess A. and Leira B. J.: Filter models for prediction of stochastic ship roll response, Probab. Eng. Mech., 41, pp. 104–114, 2015.10.1016/j.probengmech.2015.06.002
6. Chai W., Naess A., and Leira B. J.: Stochastic dynamic analysis and reliability of a vessel rolling in random beam seas, J. Ship Res., 59(2), pp. 113–131, 2015.10.5957/JOSR.59.2.140059
7. Chai W., Naess A. and Leira B. J.: Stochastic nonlinear ship rolling in random beam seas by the path integration method, Probab. Eng. Mech., 44, pp. 43–52, 2016.10.1016/j.probengmech.2015.10.002
8. Chai W., Naess A. and Leira B. J.: Long-term extreme response and reliability of a vessel rolling in random beam sea, J. Offshore Mech. and Arctic Eng., 140, 11601, pp. 1–9, 2018.10.1115/1.4037789
9. Dostal L. and Kreuzer E.: Probabilistic approach to large amplitude ship rolling in random seas, Proceedings of the Institution of Mechanical Engineers. Part C, Journal of Mechanical Engineering Science, 225, pp. 2464–2476, 2011.10.1177/0954406211414523
10. Dostal L., Kreuzer E. and Namachchivaya: Non-standard stochastic averaging of large-amplitude ship rolling in random seas, Proceedings of the Royal Society A, 258, pp. 1–25, 2012.
11. Haddara M.: Modified approach for the application of Fokker – Plank equation to the nonlinear ship motions in random waves. Int. Shipbuilding Prog., 21(242), pp. 283–288, 1974.10.3233/ISP-1974-2124201
13. Jiang C., Troesch A. and Shaw, S.: Capsize criteria for ship models with Memory-Dependent Hydrodynamics and Random Excitation, Philos. Trans. R. Soc. Lond. Ser. A, 358(1771), pp. 1761–1791, 2000.10.1098/rsta.2000.0614
15. Karakas S. C., Pesman E. and Ucer E.: Control design of fin roll stabilization in beam seas based on Lyapunov’s direct method, Polish Maritime Research, No 2(73) Vol. 19, pp. 25–30, 2012.10.2478/v10012-012-0011-9
19. Long, Z.Z., Lee, S.K., Kim, J.Y.: Estimation of survival probability for a ship in beam seas using the safe basin, Ocean Eng. Vol: 37, 418–424, 2010.10.1016/j.oceaneng.2009.11.003
20. Moshchuk N., Ibrahim R. A. and Khasminskii R.: Response statics of ocean structures to nonlinear hydrodynamics loading Part I: Gaussian ocean waves, Jounal of Sound and Vibration, 184(4), pp. 681–701, 1995.10.1006/jsvi.1995.0341
23. Rainey, R.C.T., Thompson, J.M.T.: The transient capsize diagram-a new method of quantifying stability analysis. J. Ship Res. 35 (1), pp. 58–92. 1991.10.5957/jsr.1991.35.1.58
25. Schurz H.: Verification of Lyapunov functions for the analysis of stochastic Lienard equations. J Sound Vib., 325: pp. 938–49, 2009.10.1016/j.jsv.2009.04.004
27. Thompson, J.M.T.: Loss of engineering integrity due to the erosion of absolute and transient basin boundaries, Proceedings of IUTAM Symposium on the Dynamics of Marine Vehicles and Structures in Waves, pp. 313–320, 1989.10.1007/978-3-642-83578-0_39
29. Yilmaz H.: Analyzing form parameters of fishing vessels point of view of practical stability criteria in preliminary design stage, Yildiz Technical University, Istanbul, 1998.