PERIODIC ORBITS AND P STABLE ORBIT CLOSURES OF CONTINUOUSFLOWS ON SURFACES
Citation:
Han Maoan.PERIODIC ORBITS AND P STABLE ORBIT CLOSURES OF CONTINUOUSFLOWS ON SURFACES[J].Chinese Annals of Mathematics B,1988,9(3):274~282
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Authors:
Han Maoan;
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.