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Spatio-temporal symmetries in S-N- and S-N x Z(2)-equivariant systems

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UNSPECIFIED. (2003) Spatio-temporal symmetries in S-N- and S-N x Z(2)-equivariant systems. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 18 (4). pp. 279-293. ISSN 1468-9367

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Official URL: http://dx.doi.org/10.1080/14689360310001605593

Abstract

This paper investigates the spatio-temporal symmetries of periodic trajectories in dynamical systems with S-N and S-N x Z(2) symmetry. It turns out that trajectories in S-N-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 S-N x Z(2) symmetric systems are considered and a specific S-3 x Z(2)-equivariant system is investigated numerically.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Journal or Publication Title: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
Publisher: TAYLOR & FRANCIS LTD
ISSN: 1468-9367
Date: December 2003
Volume: 18
Number: 4
Number of Pages: 15
Page Range: pp. 279-293
Identification Number: 10.1080/14689360310001605593
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/8941

Data sourced from Thomson Reuters' Web of Knowledge

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