焦点量算法与中心条件推导

数学物理学报

焦点量算法与中心条件推导

桑波;朱思铭

聊城大学数学科学学院聊城 252059

收稿日期:2005-10-19 修回日期:2007-09-10 出版日期:2008-02-25 发布日期:2008-02-25
通讯作者: 桑波
基金资助:
国家自然科学基金(10371135)资助

Focal Quantities Algorithms and Center Conditions Deduction

Sang Bo ;Zhu Siming

Department of Mathematics, Liaocheng University, Liaocheng 252059

Received:2005-10-19 Revised:2007-09-10 Online:2008-02-25 Published:2008-02-25
Contact: Sang Bo

摘要/Abstract

摘要： 对于一般情形, 基于后继函数法给出焦点量计算的递推公式;基于形式级数法给出焦点量计算和化简的Maple算法;给出了时间可逆条件的推导算法,给出了一类五次系统时间可逆的充要条件.

关键词: 焦点量, 后继函数, 形式级数, 中心条件

Abstract: For general cases, this paper gives recursive formulas for computing focal quantities by return map method, and brings in an algorithm for computing and simplication of focal quantities by formal series method.
For a class of polynomial systems, an algorithm for deriving time-reversible conditions is given, and the time-reversible conditions for a quintic polynomial system are obtained.

Key words: Focal quantities, Return map, Formal series, Center conditions.

中图分类号:

34C05

桑波;朱思铭. 焦点量算法与中心条件推导[J]. 数学物理学报, 2008, 28(1): 164-173.

Sang Bo ;Zhu Siming. Focal Quantities Algorithms and Center Conditions Deduction[J]. Acta mathematica scientia,Series A, 2008, 28(1): 164-173.

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