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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

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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:
DateEvent
1 March 2002Published
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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