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Uniformly monotone dynamical systems

Published online by Cambridge University Press:  14 November 2011

Nikolai S. Nadirashvili
Nikolai S. Nadirashvili
Affiliation:
Fakultat für Mathematik, Universität Bielfield, Universitätstrase, Postfach 8640, 4800 Bielfield 1, Germany
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Synopsis

We present a geometric approach for systems of ordinary differential equations which generate an order preserving flow. One of our main goals is to describe qualitatively the asymptotic behaviour of trajectories of dynamical systems enjoying a uniformly monotone principle.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 1 , 1993 , pp. 59 - 74
Copyright
Copyright © Royal Society of Edinburgh 1993

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