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孤立极值的充要条件 被引量:3
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作者 盛平兴 《商丘师范学院学报》 CAS 2003年第2期35-37,共3页
讨论了数学分析中求极值的经典问题,给出了n元函数孤立极值存在的充要条件.作者引入一些方法将极值问题转化为动力系统中奇点的分类问题或稳定性问题,采用自创的关于奇点稳定性的判别方法,给出了函数有孤立极值的充要条件.架起了微分方... 讨论了数学分析中求极值的经典问题,给出了n元函数孤立极值存在的充要条件.作者引入一些方法将极值问题转化为动力系统中奇点的分类问题或稳定性问题,采用自创的关于奇点稳定性的判别方法,给出了函数有孤立极值的充要条件.架起了微分方程定性理论和求极值问题之间的桥梁.方法可用来讨论无约束和有约束的最优化问题,对新算法给出了粗略的流程图. 展开更多
关键词 数学分析 孤立极值 充要条件 动力系统 奇点 微分方程 定性理论
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Novel Strategy for Numerically Evaluating Dark-Soliton Jitter in Optical Communications
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作者 CHENShi-Hua 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5期847-849,共3页
In this paper, a novel strategy for numerically evaluating the dark-solitonjitter in optical communications is proposed. It is further tested to be consistent with the famousthreshold-value-oriented method for rather ... In this paper, a novel strategy for numerically evaluating the dark-solitonjitter in optical communications is proposed. It is further tested to be consistent with the famousthreshold-value-oriented method for rather larger distances. Then our method is used to calculatethe dark-soliton jitter within arbitrary small distances. An excellent agreement is obtained withthe theoretical predictions based on the nonlinear Schrddinger equation. Our method is alsoapplicable to some more complicated systems such as the dissipative-dispersive system. 展开更多
关键词 dark-soliton jitter threshold-value-oriented method dissipative-dispersivesystem
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