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PERIODIC ORBITS AND P STABLE ORBIT CLOSURES OF CONTINUOUS FLOWS ON SURFACES
作者姓名:Han  Maoan
作者单位:Shandong Mining
摘    要:In this paper the author determines the maximum number of simple closed curves with certain propertiees on any manifold M of dimension 2, and obtains some general properties of M. Then applying the properties to continuous flows defined on M, the author obtains the maximum number of distinct P stable orbit closures and non-zero-homotopic periodic orbits which are not homotopic to each other.

收稿时间:1/7/1986 12:00:00 AM

PERIODIC ORBITS AND P STABLE ORBIT CLOSURES OF CONTINUOUS FLOWS ON SURFACES
Han Maoan.PERIODIC ORBITS AND P STABLE ORBIT CLOSURES OF CONTINUOUS FLOWS ON SURFACES[J].Chinese Annals of Mathematics,Series B,1988,9(3):274-282.
Authors:Han Maoan
Institution:Shandong Mining Institute Taian China.
Abstract:In this paper the author determines the maximum number of simple closed curves with certain propertiees on any manifold M of dimension 2, and obtains some general properties of M. Then applying the properties to continuons flows defined on M, the author obtains the maximum number of distinct P stable orbit closures and n on-zero-homotopic periodic orbits which are not homtopic to each other.
Keywords:
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