摘要
运用定性分析方法,系统地研究了船舶参-强激励横摇动力学系统的周期与混沌运动表现.首先运用Poincaré定理讨论了系统模型的调和解分岔,给出了近似调和解;随后讨论了系统模型次调和解分岔,给出了相应的近似次调和解;最后运用Melnikov函数法讨论了系统的混沌运动表现.
Chaotic and periodic motion of ship parametrical-highly excitation rolling dynamics system is researched by qualitative analysis method. Firstly, by researching bifurcation of harmonic solution with the theory of Poincare, approximately harmonic solution is gained. Secondly, by researching sub-harmonic solution bifurcation of system, approximately sub-harmonic solution is gained. At last, chaotic motion of dynamics system is discussed by using Melnikov function.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2011年第6期632-639,共8页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(批准号:40374048)
关键词
非线性动力学方程
调和解
混沌
nonlinear differential equation
harmonic solutions
chaos
