Spatio-temporal symmetries in SN- and SN×2-equivariant systems

Elmhirst, Toby (2003) Spatio-temporal symmetries in SN- and SN×2-equivariant systems. Dynamical Systems, 18 (4). pp. 279-293.

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Abstract

This paper investigates the spatio-temporal symmetries of periodic trajectories in dynamical systems with SN- and SN×2 symmetry. It turns out that trajectories in SN-equivariant systems cannot exhibit spatio-temporal symmetries beyond the trivial symmetry of all periodic orbits. More complex symmetries in the trajectories require additional constraints on the dynamics. The possibilities offered by SN×2 symmetric systems are considered and a specific S3×2-equivariant system is investigated numerically.

Item ID: 9240
Item Type: Article (Refereed Research - C1)
Keywords: analysis; applied mechanics; dynamical systems; general systems; mathematical biology; non-linear systems
ISSN: 1468-9375
Date Deposited: 14 Apr 2010 01:25
FoR Codes: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications @ 50%
01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics @ 50%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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