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Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Uniformly monotone dynamical systems
Nikolai S. Nadirashvili
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 123 / Issue 1 / 1993

Published online by Cambridge University Press:

14 November 2011, pp. 59-74

Print publication:

1993
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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.