微分系统的等价性及其应用研究综述

O175.12; 自Mironenko教授创建反射函数理论以来,人们采用该理论定义了微分系统间的新的等价关系,由此建立了复杂微分系统与简单微分系统、非自治微分系统与自治微分系统的等价性,应用它将复杂系统的几何性态的研究可转化为简单或自治系统的几何性态的研究.经过专家们的共同研究取得了若干极具理论和应用价值的好成果....

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Published in南京信息工程大学学报 Vol. 9; no. 4; pp. 365 - 371
Main Author 周正新
Format Journal Article
LanguageChinese
Published 扬州大学数学科学学院,扬州,225002 2017
Subjects
反射函数
等价性
几何性态
equivalence
reflecting function
reflecting integral
geometric property
反射积分
Online AccessGet full text
ISSN1674-7070
DOI10.13878/j.cnki.jnuist.2017.04.002

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Abstract O175.12; 自Mironenko教授创建反射函数理论以来,人们采用该理论定义了微分系统间的新的等价关系,由此建立了复杂微分系统与简单微分系统、非自治微分系统与自治微分系统的等价性,应用它将复杂系统的几何性态的研究可转化为简单或自治系统的几何性态的研究.经过专家们的共同研究取得了若干极具理论和应用价值的好成果.
AbstractList O175.12; 自Mironenko教授创建反射函数理论以来,人们采用该理论定义了微分系统间的新的等价关系,由此建立了复杂微分系统与简单微分系统、非自治微分系统与自治微分系统的等价性,应用它将复杂系统的几何性态的研究可转化为简单或自治系统的几何性态的研究.经过专家们的共同研究取得了若干极具理论和应用价值的好成果.
Abstract_FL A relation of equivalence for the differential systems has been found since the establishment of reflecting theory by Professor Mironenko.Then the equivalence between complicated systems and simple systems,between nonautonomous differential systems and autonomous differential systems has been established,which can be employed to study the qualitative behavior of a complicated or nonautonomous differential system by discussing a simple or autonomous differential system.Many good results with theoretical and practical value have been obtained by researchers.
Author 周正新
AuthorAffiliation 扬州大学数学科学学院,扬州,225002
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Keywords 反射函数
等价性
几何性态
equivalence
reflecting function
reflecting integral
geometric property
反射积分
Language Chinese
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