Numerical Identification of Ship-Roll Chaos Threshold

Ya Chong Liu; An Kang Hu; Feng Lei Han

doi:10.4028/www.scientific.net/AMM.556-562.3078

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 556-562Numerical Identification of Ship-Roll Chaos...

Numerical Identification of Ship-Roll Chaos Threshold

Abstract:

Melnikov function is currently the only way to theoretically resolve the chaotic threshold. Considering the calculation difficulties of Melnikov function, Gauss-Legendre numerical method is accepted in this paper to ascertain the chaotic threshold of a nonlinear system. Two forms of numerical technique, namely Lyapunov exponents and phase plan are adopted to validate the computation results. The method is applied to the ship-roll system and the chaos threshold is numerically computed in the end.

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Periodical:

Applied Mechanics and Materials (Volumes 556-562)

Pages:

3078-3083

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.556-562.3078

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Online since:

May 2014

Authors:

Ya Chong Liu*, An Kang Hu, Feng Lei Han

Keywords:

Chaos Threshold, Gauss-Legendre, Lyapunov Exponent, Melnikov Function, Phase Plan

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* - Corresponding Author

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