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Normal form theory for relative equilibria and relative periodic solutions

Lamb, J. S.W. and Melbourne, Ian (2007) Normal form theory for relative equilibria and relative periodic solutions Transactions of the American Mathematical Society, 359. pp. 4537-4556.

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Abstract

We show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinates can be chosen so that the equations of motion, in normal form, admit certain additional equivariance conditions up to arbitrarily high order.

In particular, normal forms for relative periodic solutions effectively reduce to normal forms for relative equilibria, enabling the calculation of the drift of solutions bifurcating from relative periodic solutions.

Item Type: Article
Additional Information: First published in Transactions of the American Mathematical Society, 359, 4537-4556. Published by the American Mathematical Society. © American Mathematical Society 2007.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1448

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