似梯度型系统连结轨线的不存在性  

Non-Existence of Connecting Orbits of Gradient-Like Systems

作　　者：周云华[1] 

机构地区：[1]重庆邮电学院,重庆400065

出　　处：《重庆邮电学院学报（自然科学版）》2002年第3期93-94,共2页Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition)

摘　　要：简要回顾了似梯度型系统连结轨线的存在性的研究 ,在此基础上 ,根据似梯度型系统连结轨线的性质 ,对 Rn 中似梯度型系统连结轨线的不存在性给出了一些判别准则 。This paper briefly reviews the research on non-existence of connecting orbits in GradientLike systems, and based on the characteristics of connecting orbits, presents some criteria to judge non-existence of connecting orbits in R\+n, which is useful to form an operable math model for dynamic system theory study and its application.

关 键 词：似梯度型系统 连结轨线 不存在性 数学模型 常微分方程 

分 类 号：O175.1[理学—数学]