一类哈密顿系统的Abel积分之比单调性的判据  

A CRITERION OF THE MONOTONICITY OF THE RATION OF ABELIAN INTEGRALS IN A CLASS OF HAMILTONIAN SYSTEM

作　　者：张同华 陈文成[2] 臧红[3] 

机构地区：[1]Department of Chemical Engineering Curtin University of Technology,WA Australia 6845 [2]山东农业大学数学系,山东泰安271000 [3]上海交通大学数学系,上海200240

出　　处：《系统科学与数学》2007年第6期875-879,共5页Journal of Systems Science and Mathematical Sciences

摘　　要：研究了一类哈密顿系统的两个Abel积分比值的单调性的条件,指出这个单调性条件可由文中给出的两个判定函数直接确定.In this paper, a criterion of the monotonicity of the ration of two Abelian integrals is given by two criterion functions defined directly by the functions which appear in the Abelian integrals.

关 键 词：ABEL积分 弱Hilbert第16问题 单调性 哈密顿系统 

分 类 号：N945[自然科学总论—系统科学]