Numerical Identification of Ship-Roll Chaos Threshold

作者:Liu, Yachong*; Hu, Ankang; Han, Fenglei
来源:International Conference on Mechatronics Engineering and Computing Technology (ICMECT), 2014-04-09 To 2014-04-10.
DOI:10.4028/www.scientific.net/AMM.556-562.3078

摘要

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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