周期扰动异宿环系统的二阶Melnikov积分  

The second order Melnikov integral in the time-periodic equation with heteroclinic cycle

作　　者：陈凤娟 钱亚赫 CHEN Fengjuan;QIAN Yahe(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江师范大学数学与计算机科学学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2021年第1期9-14,共6页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11471289)。

摘　　要：为了判别系统在一阶Melnikov积分退化情形下的混沌动力学,通过计算二阶Melnikov积分,判定了Duffing方程在周期扰动下具有混沌动力学,并得到正值Lyapunov指数和相应的分岔图.It was aimed to verify the chaotic dynamics when the first order Melnikov integral degenerated,and the unperturbed equation with a heteroclinic cycle.By evaluating the second order Melnikov integral,it was obtained the chaotic dynamics of Duffing equation,as well as the positive Lyapunov exponents and bifurcation diagram.

关 键 词：DUFFING方程 异宿轨道 二阶Melnikov积分 混沌 

分 类 号：O175.1[理学—数学] O193[理学—基础数学]