Stability and persistence of relative equilibria at singular values of the moment map

Nonlinearity

Volumn 11, Issue 6, 1998, Pages 1637-1649

  Lerman, E ^a   Singer, S F ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b HAVERFORD COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009267657     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/6/012     Document Type: Article

References (16)

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5. [GS2] Guillemin V and Sternberg S 1990 Symplectic Techniques in Physics (Cambridge: Cambridge University Press) (second reprint with corrections)
6. Lerman E 1989 On the centralizer of invariant functions on a Hamiltonian G-space J. Diff. Geom. 30 805-15
7. [Ma] Marle C-M 1985 Modèle d'action hamiltonienne d'un groupe de Lie sur une variété symplectique Rendiconti del Seminario Matematico 43 227-51
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12. [P1] Patrick G W 1991 Two axially symmetric coupled rigid bodies: relative equilibria, stability, bifurcations, and a momentum preserving symplectic integrator PhD Thesis University of California at Berkeley
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14. [PS] Poston T and Stewart I 1978 Catastrophe Theory and its Applications (Boston, MA: Pitman)
15. [RdS] Roberts R M and de Sousa Dias MER 1997 Bifurcations from relative equilibria of Hamiltonian systems Nonlinearity 10 1719-38
16. [SL] Sjamaar R and Lerman E 1991 Stratified symplectic spaces and reduction Ann. Math. 134 375-422