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Centre manifolds for partial differential equations with delays*

Published online by Cambridge University Press:  14 November 2011

Xiaodong Lin ,
Joseph W.-H. So  and
Jianhong Wu
Xiaodong Lin
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Joseph W.-H. So
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Jianhong Wu
Affiliation:
Department of Mathematics, York University, North York, Ontario, Canada M3J IP3
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Synopsis

A centre manifold theory for reaction-diffusion equations with temporal delays is developed. Besides an existence proof, we also show that the equation on the centre manifold is a coupled system of scalar ordinary differential equations of higher order. As an illustration, this reduction procedure is applied to the Hutchinson equation with diffusion.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 122 , Issue 3-4 , 1992 , pp. 237 - 254
Copyright
Copyright © Royal Society of Edinburgh 1992

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