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Inverse limit stability for semiflows

Published online by Cambridge University Press:  01 April 2000

HIROSHI IKEDA
HIROSHI IKEDA
Affiliation:
Department of Mathematics, School of Education, Waseda University, Shinjuku, Tokyo, 169-50, Japan
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Abstract

On semiflows on Banach manifolds, Quandt (1988 and 1989) stated that some special semiflows were inverse limit stable. However, the concepts and proofs used to show inverse limit stability of semiflows are rough and ambiguous. We consider semiflows on finite-dimensional compact manifolds or on finite-dimensional compact non-singular branched manifolds. In this paper we show that more special semiflows are inverse limit stable. That is, Anosov semiflows are inverse limit stable.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 2 , April 2000 , pp. 453 - 471
Copyright
© 2000 Cambridge University Press

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