中文摘要：

为了提高船舶横摇运动的稳定性，基于分岔理论，设计了一分岔控制器来控制船舶非线性横摇中出现的鞍．结分岔运动．应用多尺度法得到了船舶非线性横摇受控系统主共振情况下的幅频响应方程及奇点的特征方程，由奇异性理论分析了该非线性系统的分岔特性，提出了抑制或延缓分岔运动产生的控制方法，分析了不同控制方法对船舶横摇运动和稳定性的影响．数值模拟表明所设计的分岔控制器是可行和有效的．

英文摘要：

In order to improve the stability of a ship＇s nonlinear rolling motion, a bifurcation controller was designed to control the saddle-node bifurcation movements taking place in the ship＇s nonlinear rolling, thus removing or dela-ying the occurrence of jump and hysteresis phenomena. The multi-scale method was used to get the amplitude-fre-quency response equation and characteristic equation of singular point under the primary resonance of the ship＇s nonlinear rolling controlled system. The bifurcation characteristics of this nonlinear system were analyzed by singu- larity theory. Further the control method for restraining or delaying generation of bifurcation movement was pro-posed, and the influence of different control methods on the ship＇s rolling movement and stability was analyzed. Fi-nally, numerical simulations were performed to verify the effectiveness of the proposed bifurcation control study.