扰动Sine-Gordon方程的横截异宿轨(英文)  

TRANSVERSAL HETEROCLINIC ORBITS FOR A PERTURBED SINE-GORDON EQUATION

作　　者：吴然超[1] 孙建华[2] 

机构地区：[1]安徽大学数学与计算科学学院,合肥230039 [2]南京大学数学系,南京210093

出　　处：《南京大学学报（数学半年刊）》2006年第1期19-26,共8页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by the National Natural Science Foundation of China(No: 10471059)The Innovation Group Foundation of Anhui University.

摘　　要：本文研究了sine-Gordon方程的异宿轨在扰动下的保持性．利用无穷维Melnikov分析,证明了横截异宿轨的存在性,进而扰动系统有混沌发生．In this paper, the persistence of heteroclinic orbits for a sine-Gordon equation under perturbation is studied. By Melnikov analysis in infinite dimensions, existence of transversal heteroclinic orbits is proved, and consequently, chaos happens.

关 键 词：MELNIKOV函数 异宿轨 SINE-GORDON方程 混沌 

分 类 号：O241.8[理学—计算数学]