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Transition systems

Published online by Cambridge University Press:  14 November 2011

Konstantin Mischaikow
Konstantin Mischaikow
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A
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Synopsis

The concept of a transition system is extended to a parametrised family of differential equations

where x ∊ ℝn and λ ∊ Λ = [0, l]m, an m-cube. Furthermore, algebraic formulae for comparing connection matrices at the various parameter values are obtained. Finally, several applications of these techniques are indicated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 1-2 , 1989 , pp. 155 - 175
Copyright
Copyright © Royal Society of Edinburgh 1989

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