Dynamics and geometry in forced symmetry breaking: a tetrahedral example
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)
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Official URL: http://dx.doi.org/10.1017/S030500410400773X
Description/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.
| Item Type: | Article |
|---|---|
| ISSN: | 0305-0041 (print) |
| Related URLs: | http://dx.doi.org/10.1017/S030...410400773X |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| ePrint ID: | 29798 |
| URI: | http://eprints.soton.ac.uk/id/eprint/29798 |
| Deposited On: | 12 May 2006 |
| Last Modified: | 01 Jun 2011 03:09 |
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