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The flow near non-trivial minimal sets on 2-manifolds

Published online by Cambridge University Press:  24 October 2008

Konstantin Athanassopoulos
Konstantin Athanassopoulos
Affiliation:
Freie Universität Berlin, Institut für Mathematik II (WE 2), Arnimallee 3, D–l000 Berlin 33, Germany
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Extract

In this paper we give a description of the qualitative behaviour of the orbits near a non-trivial compact minimal set of a continuous flow on a 2-manifold. The first results in this direction were obtained in [1] and the present paper can be regarded as a continuation of that work. The main result can be stated as follows:

Theorem 1·1. Let (ℝ, M, f) be a continuous flow on a 2-manifold M and A ⊂ M a non-trivial compact minimal set.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 3 , November 1990 , pp. 569 - 573
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

REFERENCES

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