@inbook{a8c83b6b53b1471c8a2a4eba6887838b,
title = "Nonlinear Dynamics on Parametric Rolling of Ships in Head Seas",
abstract = "The present paper employs nonlinear dynamics tools in order to investigate the dynamical characteristics governing the complex coupling of the heave, roll and pitch modes in head seas at some regions of the numerical stability map of a fishing vessel. Bifurcation diagrams and Poincar{\'e} mappings are computed and employed to investigate the appearance of multistability and chaos associated with increased values of the selected control parameter, the wave amplitude. The connection between these nonlinear characteristics and the coupled nature of the mathematical model are analyzed. Lyapunov exponents corresponding to the three coupled models are computed.",
keywords = "parametric rolling, nonlinear dynamics tools, fishing vessel, wave amplitude, Lyapunov exponent, roll motion, pitch motion",
author = "Neves, \{Marcelo A.S.\} and Vivanco, \{Jerver E.M.\} and Rodr{\'i}guez, \{Claudio A.\}",
note = "Neves, M.A.S., Vivanco, J.E.M., Rodr{\'i}guez, C.A. (2011). Nonlinear Dynamics on Parametric Rolling of Ships in Head Seas. In: Almeida Santos Neves, M., Belenky, V., de Kat, J., Spyrou, K., Umeda, N. (eds) Contemporary Ideas on Ship Stability and Capsizing in Waves. Fluid Mechanics and Its Applications, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1482-3\_25 ",
year = "2011",
month = may,
day = "17",
doi = "10.1007/978-94-007-1482-3\_25",
language = "English",
isbn = "9789400714816",
volume = "97",
series = "Fluid Mechanics and its Applications",
publisher = "Springer",
pages = "449--462",
editor = "\{Almeida Santos Neves\}, Marcelo and \{de Kat\}, \{Jean Otto\} and Naoya Umeda and Vadim Belenky and Kostas Spyrou",
booktitle = "Contemporary Ideas on Ship Stability and Capsizing in Waves",
}