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.
- 出版日期2014
- 单位哈尔滨工程大学