메뉴 건너뛰기




Volumn 44, Issue 1, 1993, Pages 17-43

Lagrangian reduction and the double spherical pendulum

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002893048     PISSN: 00442275     EISSN: 14209039     Source Type: Journal    
DOI: 10.1007/BF00914351     Document Type: Article
Times cited : (102)

References (54)
  • 4
    • 0001356905 scopus 로고
    • Sur la géometrie différentielle des groupes de Lie de dimension infime et ses applications á l'hydrodynamique des fluides parfaits
    • (1966) Ann. Inst. Fourier, Grenoble , vol.16 , pp. 318-361
    • Arnold, V.I.1
  • 8
    • 84933852746 scopus 로고    scopus 로고
    • Baillieul, J. (personal communication) 1991.
  • 11
    • 84933852744 scopus 로고    scopus 로고
    • Bloch, A. M. and P. Crouch, On the dynamics and control of nonholonomic systems on Riemannian Manifolds, preprint 1992.
  • 12
    • 84933852745 scopus 로고    scopus 로고
    • Bloch, A. M., P. S. Krishnaprasad, J. E. Marsden and T. S. Ratiu, Dissipation induced stabilities (to appear 1991).
  • 14
    • 0023018107 scopus 로고
    • On the non-existence of a supplementary integral in the problem of a heavy two-link pendulum
    • (1986) PMM USSR , vol.50 , pp. 123-125
    • Burov, A.A.1
  • 19
    • 84933852742 scopus 로고    scopus 로고
    • Dellnitz, M., J. E. Marsden, I. Melbourne and J. Scheurle, Generic bifurfactions of pendula, in G. Allgower, K. Böhmer and M. Golubitsky (eds.), Proc Conf, on Symmetry in Mathematics: Cross-Influences Between Theory and Applications, Marburg, Birkhäuser, Boston 1992.
  • 22
    • 84933852743 scopus 로고    scopus 로고
    • Harnad, J., J. Hurtubise and J. Marsden, Reduction of Hamiltonian systems with discrete symmetry (preprint 1991); see also Ch. 8 of Marsden [1992].
  • 32
    • 84933852740 scopus 로고    scopus 로고
    • Lewis, D. R., J. E. Marsden, T. S. Ratiu and J. C. Simo, Normalizing connections and the energy-momentum method, in Harnad and Marsden (eds.), Proc. CRM Conference on Hamiltonian Systems, Transformation Groups, and Spectral Transform Methods, CRM Press 1990, pp. 207–227.
  • 35
    • 84933852741 scopus 로고    scopus 로고
    • Marsden, J. E., Lectures on Mechanics, London Mathematical Society Lecture note series, 174, Cambridge University Press 1992.
  • 36
    • 84933852738 scopus 로고    scopus 로고
    • Marsden, J. E., R. Montgomery and T. Ratiu, Reduction, symmetry, and phases in mechanics, Memoirs AMS 436, 1990.
  • 37
    • 84933852739 scopus 로고    scopus 로고
    • Marsden, J. E. and J. Scheurle, The Euler-Lagrange-Poincaré equations (to appear 1992).
  • 40
    • 84933852737 scopus 로고    scopus 로고
    • Meyer, K. R., Symmetries and integrals in mechanics, in M. Peixoto (ed.), Dynamical Systems, Academic Press 1973, pp. 259–273.
  • 41
    • 84933852760 scopus 로고    scopus 로고
    • Montgomery, R., The bundle picture in mechanics, Thesis, UC Berkeley 1986.
  • 43
    • 84933852761 scopus 로고    scopus 로고
    • Naimark, Ju. I. and N. A. Fufaev, Dynamics of nonholonomic systems, Translations of Mathematical Monographs, AMS, vol. 33, 1972.
  • 44
  • 50
    • 84933852762 scopus 로고    scopus 로고
    • van der Meer, J. C., The Hamiltonian Hopf Bifurcation, Springer Lect. Notes in Math. 1160, 1985.
  • 52
    • 84933852763 scopus 로고    scopus 로고
    • Wang, L-S. and P. S. Krishnaprasad, Gyroscopic control and stabilization, J. Nonlinear. Sci. (to appear 1992).
  • 53
    • 84933852764 scopus 로고    scopus 로고
    • Wiggins, S., Global Bifurcations and Chaos, Springer-Verlag, AMS 73, 1988.
  • 54
    • 84933852765 scopus 로고    scopus 로고
    • Zombro, B. and P. Holmes, Reduction, stability instability and bifurcation in rotationally symmetric Hamiltonian systems, Dyn. and Stab, of Systems (to appear 1991).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.