关于同宿分支的Leontovich分界线量  

What Are the Separatrix Values Named by Leontovich on Homoclinic Bifurcation

作　　者：骆海英[1] 李继彬[2] 

机构地区：[1]中国科学院大气物理研究所,北京100029 [2]昆明理工大学理学院,昆明650093

出　　处：《应用数学和力学》2005年第4期418-425,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(重大)资助项目(40221503;40233029)

摘　　要：　由Leontovich定义的鞍点量和分界线量是判断同宿轨道分支出极限环的数目及同宿环稳定性的主要判据·　利用Tkachev对多重极限环稳定性判定的方法,对给定的系统,得到了同宿环分支的第三阶分界线量的公式。For a given system, by using the Tkachev method which concerned with the proof of the stability of a multiple limit cycle, the exact computation formula of the third separatrix values named by Leontovich for the multiple limit cycle bifurcation was given, which was one of the main criterions for the number of limit cycles bifurcated from a homoclinic orbit and the stability of the homoclinic loop, and a computation formula for higher separatrix values was conjectured.

关 键 词：同宿分支 分界线量 后继函数 极限环 

分 类 号：O175.14[理学—数学]