一类2个自由度Hamilton系统的动力学性质  

Dynamic behaviors for a class of Hamiltonian system with two-degree of freedom

作　　者：林路婵[1] 赵晓华[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2011年第1期35-41,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10872183)

摘　　要：主要考虑了一类耦合二阶常微分方程组在参数b12,b21均大于零的情形下,通过适当的尺度变换将此方程组变成具有2个自由度的Hamilton系统,利用Hamilton系统的相关知识分析了系统的平衡点、周期轨、同宿轨,并且运用Melnikov方法研究了系统的混沌性.It was considered a class of two coupled two-order ordinary differential equations,in the case of b12,b210,via the scaling transformation,which could be transformed into a Hamiltonian system with two-degree of freedom.Bifurcations of equilibrium,periodic orbit as well as homoclinic orbit in this system were investigated in detail.In addition,Melnikov method was used to analyze the chaos of the system.

关 键 词：HAMILTON系统 周期轨 同宿轨道 混沌现象 MELNIKOV方法 

分 类 号：O175.14[理学—数学]