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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. doi:10.1080/14689360310001605593 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 | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery |
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Journal or Publication Title: | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | ||||
Publisher: | TAYLOR & FRANCIS LTD | ||||
ISSN: | 1468-9367 | ||||
Official Date: | December 2003 | ||||
Dates: |
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Volume: | 18 | ||||
Number: | 4 | ||||
Number of Pages: | 15 | ||||
Page Range: | pp. 279-293 | ||||
DOI: | 10.1080/14689360310001605593 | ||||
Publication Status: | Published |
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