메뉴 건너뛰기




Volumn 16, Issue 1, 2003, Pages 67-91

Persistence of relative equilibria in Hamiltonian systems with non-compact symmetry

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0242308162     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/16/1/305     Document Type: Article
Times cited : (11)

References (37)
  • 2
    • 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 Pac. J. Math. 181 201-29
    • (1997) Pac. J. Math. , vol.181 , pp. 201-229
    • Bates, L.1    Lerman, E.2
  • 3
    • 0003872793 scopus 로고
    • Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, New York: Springer
    • Bochnak J, Coste M and Roy M-F 1987 Géométrie algébraique reelle Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 12 (New York: Springer)
    • (1987) Géométrie Algébraique Reelle , vol.12
    • Bochnak, J.1    Coste, M.2    Roy, M.-F.3
  • 7
    • 0000894149 scopus 로고
    • Generic bifurcation of Hamiltonian vector fields with symmetry
    • Dellnitz M, Melbourne I and Marsden J E 1992 Generic bifurcation of Hamiltonian vector fields with symmetry Nonlinearity 5 979-96
    • (1992) Nonlinearity , vol.5 , pp. 979-996
    • Dellnitz, M.1    Melbourne, I.2    Marsden, J.E.3
  • 8
    • 0000384434 scopus 로고    scopus 로고
    • Bifurcation from relative equilibria to non-compact group actions: Skew products, meanders, and drifts
    • Fiedler B, Sandstede B, Scheel A and Wulff C 1996 Bifurcation from relative equilibria to non-compact group actions: skew products, meanders, and drifts Doc. Math. J. DMV 1479-505
    • (1996) Doc. Math. J. DMV , pp. 1479-1505
    • Fiedler, B.1    Sandstede, B.2    Scheel, A.3    Wulff, C.4
  • 10
    • 0001454797 scopus 로고
    • Generic bifurcation of Hamiltonian systems with symmetry
    • Golubitsky M and Stewart I 1987 Generic bifurcation of Hamiltonian systems with symmetry Physica D 24 391-405
    • (1987) Physica D , vol.24 , pp. 391-405
    • Golubitsky, M.1    Stewart, I.2
  • 14
    • 0001103998 scopus 로고
    • Bifurcations of relative equilibria
    • Krupa M 1990 Bifurcations of relative equilibria SIAM J. Math. Anal. 21 1453-86
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1453-1486
    • Krupa, M.1
  • 15
    • 0000968358 scopus 로고    scopus 로고
    • On the bifurcation and stability of rigidly rotating inviscid liquid bridges
    • Kruse H-P and Scheurle J 1998 On the bifurcation and stability of rigidly rotating inviscid liquid bridges J. Nonlinear. Sci. 8 215-32
    • (1998) J. Nonlinear. Sci. , vol.8 , pp. 215-232
    • Kruse, H.-P.1    Scheurle, J.2
  • 16
    • 0036151410 scopus 로고    scopus 로고
    • Reversible relative periodic orbits
    • Lamb J S W and Wulff C 2002 Reversible relative periodic orbits J. Diff. Eqns 178 60-100
    • (2002) J. Diff. Eqns , vol.178 , pp. 60-100
    • Lamb, J.S.W.1    Wulff, C.2
  • 17
    • 0031084463 scopus 로고    scopus 로고
    • Stability of a bottom-heavy underwater vehicle
    • Leonard N E 1997 Stability of a bottom-heavy underwater vehicle Automatica 33 331-46
    • (1997) Automatica , vol.33 , pp. 331-346
    • Leonard, N.E.1
  • 18
    • 0001005627 scopus 로고    scopus 로고
    • Stability and drift of underwater vehicle dynamics: Mechanical systems with rigid motion symmetry
    • Leonard N E and Marsden J E 1997 Stability and drift of underwater vehicle dynamics: mechanical systems with rigid motion symmetry Physica D 105 130-62
    • (1997) Physica D , vol.105 , pp. 130-162
    • Leonard, N.E.1    Marsden, J.E.2
  • 19
    • 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
  • 20
    • 0002260849 scopus 로고
    • Nonlinear stability of a rotating planar liquid drop
    • Lewis D 1989 Nonlinear stability of a rotating planar liquid drop Arch. Rat. Mech. Anal. 106 287-333
    • (1989) Arch. Rat. Mech. Anal. , vol.106 , pp. 287-333
    • Lewis, D.1
  • 21
    • 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
  • 22
    • 0000635455 scopus 로고
    • Nonlinear stability of rotating pseudo-rigid bodies
    • Lewis D and Simo J C 1990 Nonlinear stability of rotating pseudo-rigid bodies Proc. R. Soc. A 427 281-319
    • (1990) Proc. R. Soc. A , vol.427 , pp. 281-319
    • Lewis, D.1    Simo, J.C.2
  • 23
    • 0035156343 scopus 로고    scopus 로고
    • Relative equilibria of point vortices on the sphere
    • Lim C, Montaldi J A and Roberts R M 2001 Relative equilibria of point vortices on the sphere Physica D 148 97-135
    • (2001) Physica D , vol.148 , pp. 97-135
    • Lim, C.1    Montaldi, J.A.2    Roberts, R.M.3
  • 27
    • 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
  • 29
    • 0242312021 scopus 로고    scopus 로고
    • Openness of momentum maps and persistence of extremal relative equilibria
    • to be published
    • Montaldi J and Tokieda T 2002 Openness of momentum maps and persistence of extremal relative equilibria Topology to be published
    • (2002) Topology
    • Montaldi, J.1    Tokieda, T.2
  • 30
    • 0006497032 scopus 로고    scopus 로고
    • Persistance et différentiabilité de l'ensemble des éléments critiques relatifs dans les systémes hamiltoniens symétriques
    • Ortega J-P and Ratiu T S 1997 Persistance et différentiabilité de l'ensemble des éléments critiques relatifs dans les systémes hamiltoniens symétriques C. R. Acad. Sci. Paris I 325 1107-11
    • (1997) C. R. Acad. Sci. Paris I , vol.325 , pp. 1107-1111
    • Ortega, J.-P.1    Ratiu, T.S.2
  • 31
    • 0001441560 scopus 로고
    • On the existence of slices for actions of noncompact Lie groups
    • Palais R S 1961 On the existence of slices for actions of noncompact Lie groups Ann. Math. 73 295-323
    • (1961) Ann. Math. , vol.73 , pp. 295-323
    • Palais, R.S.1
  • 32
    • 0000538937 scopus 로고
    • Relative equilibria of Hamiltonian systems with symmetry: Linearization, smoothness and drift
    • Patrick G 1995 Relative equilibria of Hamiltonian systems with symmetry: linearization, smoothness and drift J. Nonlinear Sci. 5 373-418
    • (1995) J. Nonlinear Sci. , vol.5 , pp. 373-418
    • Patrick, G.1
  • 33
    • 0006453738 scopus 로고    scopus 로고
    • Dynamics of perturbed relative equilibria of point vortices on the sphere or plane
    • Patrick G 2000 Dynamics of perturbed relative equilibria of point vortices on the sphere or plane J. Nonlinear. Sci. 10 401-15
    • (2000) J. Nonlinear. Sci. , vol.10 , pp. 401-415
    • Patrick, G.1
  • 34
    • 0034311179 scopus 로고    scopus 로고
    • The transversal relative equilibria of Hamiltonian systems with symmetry
    • Patrick G and Roberts R M 2000 The transversal relative equilibria of Hamiltonian systems with symmetry Nonlinearity 13 2089-2105
    • (2000) Nonlinearity , vol.13 , pp. 2089-2105
    • Patrick, G.1    Roberts, R.M.2
  • 35
    • 0032358932 scopus 로고    scopus 로고
    • Point vortices on a sphere: Stability of relative equilibria
    • Pekarsky S and Marsden J E 1998 Point vortices on a sphere: stability of relative equilibria. J. Math. Phys. 39 5894-906
    • (1998) J. Math. Phys. , vol.39 , pp. 5894-5906
    • Pekarsky, S.1    Marsden, J.E.2
  • 36
    • 0000870951 scopus 로고    scopus 로고
    • Bifurcations from relative equilibria of Hamiltonian systems
    • Roberts R 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, R.M.1    De Sousa Dias, M.E.R.2
  • 37
    • 0036496565 scopus 로고    scopus 로고
    • Hamiltonian systems near relative equilibria
    • Roberts R M, Wulff C and Lamb J 2002 Hamiltonian systems near relative equilibria J. Diff. Eqns 179 562-604
    • (2002) J. Diff. Eqns , vol.179 , pp. 562-604
    • Roberts, R.M.1    Wulff, C.2    Lamb, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.