Maki, AtsuoAtsuoMakiMaruyama, YuukiYuukiMaruyamaLiu, YaliuYaliuLiuDostal, LeoLeoDostal2024-07-092024-07-092024-06-01Journal of Marine Science and Technology (Japan) 29 (2): 446-456 (2024)https://hdl.handle.net/11420/48262Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). Considering this dangerous phenomenon, the parametric rolling in irregular seas is examined in this paper based on the stability of the systems origin, which corresponds to the upright condition of the vessel. It provides a novel theoretical explanation of the instability mechanism for two cases: white-noise parametric excitation and colored-noise parametric excitation. Moreover, the authors confirm the usefulness of the previously provided formulae by Roberts and Dostal by means of numerical examples.en0948-4280Journal of marine science and technology20242446456Springerhttps://creativecommons.org/licenses/by/4.0/Irregular seasLyapunov exponentParametric rollingStochastic differential equationTechnology::620: EngineeringComparison of stochastic stability boundaries for parametrically forced systems with application to ship rolling motionJournal Article10.15480/882.1312810.1007/s00773-024-00999-010.15480/882.13128Journal Article