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Dynamics and geometry in forced symmetry breaking: a tetrahedral example

Dynamics and geometry in forced symmetry breaking: a tetrahedral example
Dynamics and geometry in forced symmetry breaking: a tetrahedral example
We are interested in the dynamics that can arise close to rotational group orbits after forced symmetry-breaking to discrete symmetries.
In particular we ask how simple or complicated the dynamics induced by symmetric {\em linear} vector fields can be. We look in detail at related tetrahedral and dihedral examples, and there we find precise conditions for a linear field to exhibit homoclinic orbits.
0305-0041
411-432
Chillingworth, David
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Lauterbach, Reiner
f541c8b3-23d9-4282-b431-7e01e3060937
Chillingworth, David
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Lauterbach, Reiner
f541c8b3-23d9-4282-b431-7e01e3060937

Chillingworth, David and Lauterbach, Reiner (2004) Dynamics and geometry in forced symmetry breaking: a tetrahedral example. Mathematical Proceedings of the Cambridge Philosophical Society, 137, 411-432. (doi:10.1017/S030500410400773X).

Record type: Article

Abstract

We are interested in the dynamics that can arise close to rotational group orbits after forced symmetry-breaking to discrete symmetries.
In particular we ask how simple or complicated the dynamics induced by symmetric {\em linear} vector fields can be. We look in detail at related tetrahedral and dihedral examples, and there we find precise conditions for a linear field to exhibit homoclinic orbits.

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Published date: 2004

Identifiers

Local EPrints ID: 29798
URI: http://eprints.soton.ac.uk/id/eprint/29798
ISSN: 0305-0041
PURE UUID: a07b94fa-56f4-4545-bdba-bff057987b28

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Date deposited: 12 May 2006
Last modified: 15 Jul 2019 19:08

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