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 Poincaré 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.


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    Title :

    Nonlinear Dynamics on Parametric Rolling of Ships in Head Seas


    Additional title:

    Fluid Mechanics, Appl.




    Publication date :

    2011-05-17


    Size :

    14 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    Nonlinear Aspects of Coupled Parametric Rolling in Head Seas

    Neves, M.A.S. / Rodriguez, C.A. | British Library Conference Proceedings | 2007


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    Nayfeh, A.H. / Khdeir, A.A. | IOS Press | 1986


    On the limits of stability of ships rolling in head seas

    Neves, M A S / Rodríguez, C A / Vivanco, J E M | SAGE Publications | 2009