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The stability theorems for discrete dynamical systems on two-dimensional manifolds

Published online by Cambridge University Press:  22 January 2016

Atsuro Sannami
Atsuro Sannami*
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo, Japan
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One of the basic problems in the theory of dynamical systems is the characterization of stable systems.

Let M be a closed (i.e. compact without boundary) connected smooth manifold with a smooth Riemannian metric and Diffr (M) (r ≥ 1) denote the space of Cr diffeomorphisms on M with the uniform Cr topology.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 90 , June 1983 , pp. 1 - 55
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

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