用曲线坐标计算细临界型一般n次系统后继函数公式  

Formulas for Computing Successor Function of Center-Weak Focus System of n Degree by Using Curvilinear Coordinates

作　　者：迟晓恒[1] 周文[1] 万维明[1] 

机构地区：[1]大连交通大学理学院,辽宁大连116028

出　　处：《大连交通大学学报》2009年第2期99-101,共3页Journal of Dalian Jiaotong University

摘　　要：采用曲线坐标将细临界型一般n次系统,转化为曲线坐标系统.并利用曲线坐标给出后继函数公式中的Fn2(″s,n)|n=0.为进一步讨论全三次系统的细焦点量上界问题,给出更一般的方法.利用这种方法,通过进一步的运算,可能会发现一些系统所固有的特征,以避免采用极坐标带来的不必要的运算式子的繁杂.极坐标是一般曲线坐标的极特殊的情形.The center-weak focus system of n degree is transformed into curvilinear coordinates system, and the Fn2″（s,n）｜n=0 in the successor function is given by adopting the tool of curvilinear coordinates. In order to further discuss the problem of the upper bound for fine focus, more general approach is provided. By using this method, several intrinsic characteristics of some system are found to avoid unnecessary computational expressions occurred by adopting polar coordinate which is the special form of ordinary curvilinear coordinates.

关 键 词：曲线坐标 中心 焦点 

分 类 号：O186.1[理学—数学]