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Volumn 12, Issue 3, 1999, Pages 693-720

Stability of Hamiltonian relative equilibria

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EID: 0033130424     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/3/315     Document Type: Article
Times cited : (47)

References (35)
  • 2
    • 0002881562 scopus 로고
    • A universal reduction procedure for hamiltonian group actions
    • ed T S Ratiu (Berlin: Springer)
    • Arms J M, Cushman R and Gotay M J 1991 A universal reduction procedure for Hamiltonian group actions The Geometry of Hamiltonian Systems ed T S Ratiu (Berlin: Springer) pp 33-51
    • (1991) The Geometry of Hamiltonian Systems , pp. 33-51
    • Arms, J.M.1    Cushman, R.2    Gotay, M.J.3
  • 3
    • 0001625170 scopus 로고
    • Une approche symplectique pour des théorèmes the décomposition en géométrie ou relativité générale
    • Arms J M, Fischer A E and Marsden J E 1975 Une approche symplectique pour des théorèmes the décomposition en géométrie ou relativité générale C. R. Acad. Sci., Paris 281 517-20
    • (1975) C. R. Acad. Sci., Paris , vol.281 , pp. 517-520
    • Arms, J.M.1    Fischer, A.E.2    Marsden, J.E.3
  • 4
    • 0002941145 scopus 로고
    • Geometric and algebraic reduction for singular momentum maps
    • Arms J M, Gotay M and Jennings G 1990 Geometric and algebraic reduction for singular momentum maps Adv. Math. 79 43-103
    • (1990) Adv. Math. , vol.79 , pp. 43-103
    • Arms, J.M.1    Gotay, M.2    Jennings, G.3
  • 6
    • 0001541212 scopus 로고    scopus 로고
    • Proper group actions and symplectic stratified spaces
    • Bates L and Lerman E 1997 Proper group actions and symplectic stratified spaces Pacific J. Math. 181(2) 201-29
    • (1997) Pacific J. Math. , vol.181 , Issue.2 , pp. 201-229
    • Bates, L.1    Lerman, E.2
  • 9
    • 0000166196 scopus 로고
    • The structure of the space of solutions of Einstein's equations. I. One killing field
    • Section A
    • Fischer A, Marsden J E and Moncrief V 1980 The structure of the space of solutions of Einstein's equations. I. One killing field Ann. Inst. Henri Poincaré, Section A 33(2) 147-94
    • (1980) Ann. Inst. Henri Poincaré , vol.33 , Issue.2 , pp. 147-194
    • Fischer, A.1    Marsden, J.E.2    Moncrief, V.3
  • 15
    • 0009267657 scopus 로고    scopus 로고
    • Stability and persistence of relative equilibria at singular values of the moment map
    • Lerman E and Singer S F 1998 Stability and persistence of relative equilibria at singular values of the moment map Nonlinearity 11 1637-49
    • (1998) Nonlinearity , vol.11 , pp. 1637-1649
    • Lerman, E.1    Singer, S.F.2
  • 16
    • 0002566429 scopus 로고
    • Lagrangian block diagonalization
    • Lewis D 1992 Lagrangian block diagonalization J. Dyn. Diff. Eqns 4 1-41
    • (1992) J. Dyn. Diff. Eqns , vol.4 , pp. 1-41
    • Lewis, D.1
  • 17
    • 0001230249 scopus 로고
    • Bifurcation of liquid drops
    • Lewis D 1993 Bifurcation of liquid drops Nonlinearity 6 491-522
    • (1993) Nonlinearity , vol.6 , pp. 491-522
    • Lewis, D.1
  • 19
    • 0001307473 scopus 로고
    • Modéle d'action hamiltonienne d'un groupe the lie sur une variété symplectique
    • Marie C-M 1985 Modéle d'action hamiltonienne d'un groupe the Lie sur une variété symplectique Rend. Sem. Mat. Univers. Politecn. Torino 43(2) 227-51
    • (1985) Rend. Sem. Mat. Univers. Politecn. Torino , vol.43 , Issue.2 , pp. 227-251
    • Marie, C.-M.1
  • 21
    • 49549151837 scopus 로고
    • Reduction of symplectic manifolds with symmetry
    • Marsden J E and Weinstein A 1974 Reduction of symplectic manifolds with symmetry Rev. Mod. Phys. 5 121-30
    • (1974) Rev. Mod. Phys. , vol.5 , pp. 121-130
    • Marsden, J.E.1    Weinstein, A.2
  • 23
    • 0003252211 scopus 로고
    • Morse theory
    • Princeton, NJ: Princeton University Press
    • Milnor J 1969 Morse theory Studies vol 51 (Princeton, NJ: Princeton University Press)
    • (1969) Studies , vol.51
    • Milnor, J.1
  • 24
    • 0001463128 scopus 로고    scopus 로고
    • Persistence and stability of relative equilibria
    • Montaldi J 1997 Persistence and stability of relative equilibria Nonlinearity 10 449-66
    • (1997) Nonlinearity , vol.10 , pp. 449-466
    • Montaldi, J.1
  • 27
    • 0002083047 scopus 로고    scopus 로고
    • Singular reduction of poisson manifolds
    • Ortega J-P and Ratiu T S 1998 Singular reduction of Poisson manifolds Lett. Math. Phys. 46 359-72
    • (1998) Lett. Math. Phys. , vol.46 , pp. 359-372
    • Ortega, J.-P.1    Ratiu, T.S.2
  • 28
    • 0000202347 scopus 로고
    • A reduction scheme for phase spaces with almost kähler symmetry. Regularity results for momentum level sets
    • Otto M 1987 A reduction scheme for phase spaces with almost Kähler symmetry. Regularity results for momentum level sets J. Geo. Phys. 4 101-18
    • (1987) J. Geo. Phys. , vol.4 , pp. 101-118
    • Otto, M.1
  • 29
    • 0001441560 scopus 로고
    • On the existence of slices for actions of non-compact Lie groups
    • Palais R 1961 On the existence of slices for actions of non-compact Lie groups. Ann. Math. 73 295-323
    • (1961) Ann. Math. , vol.73 , pp. 295-323
    • Palais, R.1
  • 30
    • 0001719339 scopus 로고
    • Relative equilibria in hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space
    • Patrick G W 1992 Relative equilibria in Hamiltonian systems: the dynamic interpretation of nonlinear stability on a reduced phase space J. Geo. Phys. 9 111-19
    • (1992) J. Geo. Phys. , vol.9 , pp. 111-119
    • Patrick, G.W.1
  • 31
    • 0000870951 scopus 로고    scopus 로고
    • Bifurcations from relative equilibria of Hamiltonian systems
    • Roberts M and de Sousa Dias M E R 1997 Bifurcations from relative equilibria of Hamiltonian systems Nonlinearity 10 1719-38
    • (1997) Nonlinearity , vol.10 , pp. 1719-1738
    • Roberts, M.1    De Sousa Dias, M.E.R.2
  • 32
    • 0001229672 scopus 로고
    • Stratified symplectic spaces and reduction
    • Sjamaar R and Lerman E 1991 Stratified symplectic spaces and reduction Ann. Math. 134 375-422
    • (1991) Ann. Math. , vol.134 , pp. 375-422
    • Sjamaar, R.1    Lerman, E.2
  • 33
    • 0009222552 scopus 로고
    • Stability of relative equilibria. Part I: The reduced energymomentum method
    • Stanford University
    • Simo J C, Lewis D and Marsden J E 1989 Stability of relative equilibria. Part I: The reduced energymomentum method SUDAM Report No 89-3 Stanford University
    • (1989) SUDAM Report No 89-3
    • Simo, J.C.1    Lewis, D.2    Marsden, J.E.3
  • 34
    • 0002985376 scopus 로고
    • Stability of relative equilibria. Part I: The reduced energymomentum method
    • Simo J C, Lewis D and Marsden JE 1991 Stability of relative equilibria. Part I: The reduced energymomentum method Arch. Rat. Mech. Anal. 115 15-59
    • (1991) Arch. Rat. Mech. Anal. , vol.115 , pp. 15-59
    • Simo, J.C.1    Lewis, D.2    Marsden, J.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.