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Hamiltonian systems near relative equilibria
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UNSPECIFIED. (2002) Hamiltonian systems near relative equilibria. JOURNAL OF DIFFERENTIAL EQUATIONS, 179 (2). pp. 562-604. 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,bill be applicable to the stability and bifurcation theories of relative equilibria of Hamiltonian systems. (C) 2002 Elsevier Science (USA).
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | JOURNAL OF DIFFERENTIAL EQUATIONS |
| Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| ISSN: | 0022-0396 |
| Date: | 1 March 2002 |
| Volume: | 179 |
| Number: | 2 |
| Number of Pages: | 43 |
| Page Range: | pp. 562-604 |
| Identification Number: | 10.1006/jdeq.2001.4045 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/11153 |
Data sourced from Thomson Reuters' Web of Knowledge
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