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Symmetries of periodic solutions for planar potential systems

Golubitsky, Martin, Mao, Jian-Min and Nicol, Matthew (1996) Symmetries of periodic solutions for planar potential systems Proceedings of the American Mathematical Society, 124. pp. 3219-3228.

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Abstract

<p>In this article we discuss the symmetries of periodic solutions to Hamiltonian systems with two degrees of freedom in mechanical form. The possible symmetries of such periodic trajectories are generated by spatial symmetries (a finite subgroup of <b>O(2)</b>), phase-shift symmetries (the circle group <b.S</b><sup>1</sup>, and a time-reversing symmetry (associated with mechanical form). We focus on the symmetries and structures of the trajectories in configuration space (R<up>2</sup>), showing that special properties such as self-intersections and brake orbits are consequences of symmetry.</p>

Item Type: Article
Additional Information: First published in Proceedings of the American Mathematical Society, 124, 3219-3228. Published by the American Mathematical Society. © 1996 American Mathematical Society.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1367

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