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Structurally stable flows

Published online by Cambridge University Press:  17 April 2009

Dong Pyo Chi ,
Sung Kyu Choi  and
Jong Suh Park
Dong Pyo Chi
Affiliation:
Department of Mathematics, Chungman National University, Taejon 305-764, Korea
Sung Kyu Choi
Affiliation:
Department of Mathematics, Chungman National University, Taejon 305-764, Korea
Jong Suh Park
Affiliation:
Department of Mathematics, Chungman National University, Taejon 305-764, Korea
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Abstract

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We show that a C1-flow on a compact Riemannian manifold is structurally stable and topologically stable if and only if it satisfies Axiom A and the strong transversality condition. This improves Smale's conjecture for flows.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 79 - 90
Copyright
Copyright © Australian Mathematical Society 1992

References

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