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Dynamics and geometry in forced symmetry breaking: a tetrahedral example
Published online by Cambridge University Press: 07 September 2004
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 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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 2 , September 2004 , pp. 411 - 432
- Copyright
- 2004 Cambridge Philosophical Society
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