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- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 26, Issue 1, Pages: 45-50(1987)
- 作者机构：
  
  中山大学数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1987，
  
  Published Online：25 January 1987，
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[J]. Acta Scientiarum Naturalium Universitatis SunYatseni 26(1):45-50(1987)
DOI：

[J]. Acta Scientiarum Naturalium Universitatis SunYatseni 26(1):45-50(1987) DOI：

摘要

本文应用不变性原理研究动力系统的渐近性态

引入表征在度量空间的子集中的运动速度有界的新概念

建立关于度量空间中动力系统轨线渐近性态的两个定理和关于不稳定的定理

推广了已有的一些结果.

Abstract

The asymptotic behavior of dynamical systems is dealt with by means of the invariance principle

A new concept is introduced to characterize the boundedness of speeds of motions in a subset of a metric spaca. Two theorems on the asymptotic behavior of trajectories in a dynamical system on a metric spaece are established. A theorem on instability of a set is also obtaind

which generalizes the earlier results.

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&nbsp动力系统渐近性态不变性原理

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Department of Mathematics, Zhongshan University

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中国科学院华南植物研究所

中山大学计算机科学系

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