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Hamiltonian systems near relative equilibria
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Roberts, Mark, Wulff, Claudia and Lamb, Jeroen S. W. (2002) Hamiltonian systems near relative equilibria. Journal of Differential Equations, 179 (2). pp. 562-604. doi:10.1006/jdeq.2001.4045 ISSN 0022-0396.
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Official URL: http://dx.doi.org/10.1006/jdeq.2001.4045
Abstract
We give explicit differential equations for the dynamics of Hamiltonian systems near relative equilibria. These split the dynamics into motion along the group orbit and motion inside a slice transversal to the group orbit. The form of the differential equations that is inherited from the symplectic structure and symmetry properties of the Hamiltonian system is analysed and the effects of time reversing symmetries are included. The results will be applicable to the stability and bifurcation theories of relative equilibria of Hamiltonian systems. © 2002 Elsevier Science (USA).
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | R Medicine > R Medicine (General) | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Differential Equations | ||||
| Publisher: | Academic Press | ||||
| ISSN: | 0022-0396 | ||||
| Official Date: | 1 March 2002 | ||||
| Dates: |
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| Volume: | 179 | ||||
| Number: | 2 | ||||
| Page Range: | pp. 562-604 | ||||
| DOI: | 10.1006/jdeq.2001.4045 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Date of first compliant deposit: | 26 July 2018 |
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