浙江大学学报（理学版）2011，Vol.38Issue(6)：632-639,8.DOI:10.3785/j.issn.1008-9497.2011.06.006
船舶参-强激励非线性动力学系统模型的研究
Research on the model of ship parametrical-highly excitation nonlinear dynamics system
摘要
Abstract
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.关键词
非线性动力学方程/调和解/混沌Key words
nonlinear differential equation/ harmonic solutions/ chaos分类
交通工程引用本文复制引用
鲁立刚,袁林忠,陈宝薇..船舶参-强激励非线性动力学系统模型的研究[J].浙江大学学报（理学版）,2011,38(6):632-639,8.基金项目
国家自然科学基金资助项目(批准号:40374048). （批准号:40374048）
