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Volumn 105, Issue 1-3, 1997, Pages 130-162

Stability and drift of underwater vehicle dynamics: Mechanical systems with rigid motion symmetry

Author keywords

Mechanical systems with symmetry; Relative equilibrium; Rigid body in a fluid; Stability; Underwater vehicle

Indexed keywords


EID: 0001005627     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)83390-8     Document Type: Article
Times cited : (91)

References (38)
  • 1
    • 0027475275 scopus 로고
    • Chaotic motion of a solid through ideal fluid
    • H. Aref and W. Jones Scott, Chaotic motion of a solid through ideal fluid, Phys. Fluids A 5 (1993) 3026-3028.
    • (1993) Phys. Fluids A , vol.5 , pp. 3026-3028
    • Aref, H.1    Jones Scott, W.2
  • 7
    • 0003384756 scopus 로고    scopus 로고
    • Stabilization of relative equilibria of mechanical systems with symmetry
    • eds. M. Alber, B. Hu and J. Rosenthal Birkhäuser, Basel
    • A.M. Bloch, J.E. Marsden and G. Sánchez, Stabilization of relative equilibria of mechanical systems with symmetry, in: Current and Future Directions in Applied Mathematics, eds. M. Alber, B. Hu and J. Rosenthal (Birkhäuser, Basel, 1997) pp. 43-64;
    • (1997) Current and Future Directions in Applied Mathematics , pp. 43-64
    • Bloch, A.M.1    Marsden, J.E.2    Sánchez, G.3
  • 10
    • 0000894149 scopus 로고
    • Generic bifurcation of Hamiltonian vector fields with symmetry
    • M. Dellnitz, I. Melbourne and J.E. Marsden, Generic bifurcation of Hamiltonian vector fields with symmetry, Nonlinearity 5 (1992) 979-996.
    • (1992) Nonlinearity , vol.5 , pp. 979-996
    • Dellnitz, M.1    Melbourne, I.2    Marsden, J.E.3
  • 12
    • 0026685432 scopus 로고
    • Gyroscopic stability and its loss in systems with two essential coordinates
    • G. Haller, Gyroscopic stability and its loss in systems with two essential coordinates, Int. J. Nonlinear Mech. 27 (1992) 113-127.
    • (1992) Int. J. Nonlinear Mech. , vol.27 , pp. 113-127
    • Haller, G.1
  • 13
  • 14
    • 0011581571 scopus 로고
    • Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics
    • E. Knobloch, A. Mahalov and J.E. Marsden, Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics, Physica D 73 (1994) 49-81.
    • (1994) Physica D , vol.73 , pp. 49-81
    • Knobloch, E.1    Mahalov, A.2    Marsden, J.E.3
  • 15
    • 0040456322 scopus 로고
    • Eulerian many-body problems
    • P.S. Krishnaprasad, Eulerian many-body problems, Cont. Math. AMS 97 (1989) 187-208.
    • (1989) Cont. Math. AMS , vol.97 , pp. 187-208
    • Krishnaprasad, P.S.1
  • 17
    • 33745057539 scopus 로고
    • Rieffel induction as generalized quantum Marsden-Weinstein reduction
    • N.P. Landsman, Rieffel induction as generalized quantum Marsden-Weinstein reduction, J. Geom. Phys. 15 (1995) 285-319.
    • (1995) J. Geom. Phys. , vol.15 , pp. 285-319
    • Landsman, N.P.1
  • 18
    • 0013590637 scopus 로고
    • Strongly resonant Hopf bifurcations and vortex-induced vibrations
    • eds. J.M.T. Thompson and S.R. Bishop Wiley, New York
    • W.F. Langford and K. Zhan, Strongly resonant Hopf bifurcations and vortex-induced vibrations. Nonlinearity and Chaos in Engineering Dynamics, eds. J.M.T. Thompson and S.R. Bishop (Wiley, New York, 1994) pp. 241-248.
    • (1994) Nonlinearity and Chaos in Engineering Dynamics , pp. 241-248
    • Langford, W.F.1    Zhan, K.2
  • 19
    • 0029346213 scopus 로고
    • Control synthesis and adaptation for an underactuated autonomous underwater vehicle
    • N.E. Leonard, Control synthesis and adaptation for an underactuated autonomous underwater vehicle, IEEE J. Oceanic Engrg. 20 (1995) 211-220.
    • (1995) IEEE J. Oceanic Engrg. , vol.20 , pp. 211-220
    • Leonard, N.E.1
  • 20
    • 0031084463 scopus 로고    scopus 로고
    • Stability of a bottom-heavy underwater vehicle
    • N.E. Leonard, Stability of a bottom-heavy underwater vehicle, Automatica 33 (1997).
    • (1997) Automatica , vol.33
    • Leonard, N.E.1
  • 21
    • 0029490786 scopus 로고
    • Periodic forcing, dynamics and control of underactuated spacecraft and underwater vehicles
    • N.E. Leonard, Periodic forcing, dynamics and control of underactuated spacecraft and underwater vehicles, Proc. 34th IEEE Conf. on Decision and Control (1995) 3980-3985.
    • (1995) Proc. 34th IEEE Conf. on Decision and Control , pp. 3980-3985
    • Leonard, N.E.1
  • 24
    • 0029375604 scopus 로고
    • Motion control of drift-free, left-invariant systems on Lie groups
    • N.E. Leonard and P.S. Krishnaprasad, Motion control of drift-free, left-invariant systems on Lie groups, IEEE Trans. Automatic Control 40 (1995) 1539-1554.
    • (1995) IEEE Trans. Automatic Control , vol.40 , pp. 1539-1554
    • Leonard, N.E.1    Krishnaprasad, P.S.2
  • 31
    • 0042349153 scopus 로고
    • Periodic solutions of Kirchhoff's equations for the free motion of a rigid body in a fluid and the extended theory of Lyusternik-Shnirel'man-Morse I
    • S.P. Novikov and I. Shmel'tser, Periodic solutions of Kirchhoff's equations for the free motion of a rigid body in a fluid and the extended theory of Lyusternik-Shnirel'man-Morse I, Funct. Anal. Appl. 15 (1982) 197-207.
    • (1982) Funct. Anal. Appl. , vol.15 , pp. 197-207
    • Novikov, S.P.1    Shmel'tser, I.2
  • 32
    • 0001719339 scopus 로고
    • Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space
    • G. Patrick, Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space J. Geom. Phys. 9 (1992) 111-119.
    • (1992) J. Geom. Phys. , vol.9 , pp. 111-119
    • Patrick, G.1
  • 33
    • 0000538937 scopus 로고
    • Relative equilibria of Hamiltonian systems with symmetry: Linearization, smoothness and drift
    • G. Patrick, Relative equilibria of Hamiltonian systems with symmetry: Linearization, smoothness and drift, J. Nonlinear Sci. 5 (1995) 373-418.
    • (1995) J. Nonlinear Sci. , vol.5 , pp. 373-418
    • Patrick, G.1
  • 34
    • 0002985376 scopus 로고
    • Stability of relative equilibria I: The reduced energy momentum method
    • J.C. Simo, D.R. Lewis and J.E. Marsden, Stability of relative equilibria I: The reduced energy momentum method, Arch. Rat. Mech. Anal. 115 (1991) 15-59.
    • (1991) Arch. Rat. Mech. Anal. , vol.115 , pp. 15-59
    • Simo, J.C.1    Lewis, D.R.2    Marsden, J.E.3
  • 35
    • 0001229672 scopus 로고
    • Stratified symplectic spaces and reduction
    • R. Sjamaar and E. Lerman, Stratified symplectic spaces and reduction, Ann. of Math. 134 (1991) 375-422.
    • (1991) Ann. of Math. , vol.134 , pp. 375-422
    • Sjamaar, R.1    Lerman, E.2
  • 36
    • 0003349147 scopus 로고
    • The Hamiltonian Hopf Bifurcation
    • Springer, Berlin
    • J.C. van der Meer, The Hamiltonian Hopf Bifurcation, Lecture Notes in Mathematics, 1160 (Springer, Berlin, 1985).
    • (1985) Lecture Notes in Mathematics , pp. 1160
    • Van Der Meer, J.C.1
  • 37
    • 0001203818 scopus 로고
    • Hamiltonian Hopf bifurcation with symmetry
    • J.C. van der Meer, Hamiltonian Hopf bifurcation with symmetry, Nonlinearity 3 (1990) 1041-1056.
    • (1990) Nonlinearity , vol.3 , pp. 1041-1056
    • Van Der Meer, J.C.1
  • 38
    • 0039482615 scopus 로고
    • Stability of Poisson-Hamilton equilibria
    • A. Weinstein, Stability of Poisson-Hamilton equilibria, Cont. Math. AMS 28 (1984) 3-14.
    • (1984) Cont. Math. AMS , vol.28 , pp. 3-14
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.