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Hamilton系统周期解周期单调性的代数判别
引用本文:韦宝荣,赵庆余,丁昌明. Hamilton系统周期解周期单调性的代数判别[J]. 杭州师范学院学报(自然科学版), 1997, 0(3)
作者姓名:韦宝荣  赵庆余  丁昌明
摘    要:
本文利用代数曲线的Picard-Fuchs方程讨论了对称二次Hamilton系统周期解周期的单调性得到其周期或严格单调增加,或至多有两个临界点.

关 键 词:Hamilton系统  周期解  周期的单调性  临界点

AN ALGEBRAIC CRITERION FOR THE MONOTONICITY OF PERIODS OF A HAMILTON SYSTEM
Wei Baorong, Zhao Qingyu, Ding Changming. AN ALGEBRAIC CRITERION FOR THE MONOTONICITY OF PERIODS OF A HAMILTON SYSTEM[J]. Journal of Hangzhou Teachers College(Natural Science), 1997, 0(3)
Authors:Wei Baorong   Zhao Qingyu   Ding Changming
Affiliation:Department of Mathematics
Abstract:
In this paper,we discuss the periodic monotonicity of periodic solutions of a quadratic Hamilton system,and prove that the periodic function is strictly increasing or at most has two eritical points.
Keywords:Hamilton system   periodic solutious   monotonicity of periods   critical point
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