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Volumn 22, Issue 5, 2002, Pages 1497-1506

Non-holonomic systems as singular limits for rapid oscillations

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EID: 0036802523     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385702001098     Document Type: Article
Times cited : (6)

References (19)
  • 1
    • 0001444637 scopus 로고
    • Upside-down pendulums
    • D.J. Acheson and T. Mullin. Upside-down pendulums. Nature 366 (1993), 215-216.
    • (1993) Nature , vol.366 , pp. 215-216
    • Acheson, D.J.1    Mullin, T.2
  • 2
    • 0000757719 scopus 로고
    • Remarks on the perturbation theory for problems of Mathieu type
    • 232
    • V.I. Arnold. Remarks on the perturbation theory for problems of Mathieu type. Usp. Mat. Nauk 38(4) (1983), (232), 189-203.
    • (1983) Usp. Mat. Nauk , vol.38 , Issue.4 , pp. 189-203
    • Arnold, V.I.1
  • 4
    • 0001594095 scopus 로고
    • Inverted pendulum
    • L. Blitzer. Inverted pendulum. Amer. J. Phys. 33 (1965), 1076.
    • (1965) Amer. J. Phys. , vol.33 , pp. 1076
    • Blitzer, L.1
  • 6
    • 21844486186 scopus 로고
    • Geometrical aspects of stability theory for Hill's equations
    • H.W. Broer and M. Levi. Geometrical aspects of stability theory for Hill's equations. Arch. Rational Mech. Anal. 131 (1995), 225-240.
    • (1995) Arch. Rational Mech. Anal. , vol.131 , pp. 225-240
    • Broer, H.W.1    Levi, M.2
  • 7
    • 0032133450 scopus 로고    scopus 로고
    • Geometry of the prytz planimeter
    • R.L. Foote. Geometry of the Prytz planimeter. Rep. Math. Phys. 42(1-2) (1998), 249-271.
    • (1998) Rep. Math. Phys. , vol.42 , Issue.1-2 , pp. 249-271
    • Foote, R.L.1
  • 9
    • 0000413954 scopus 로고
    • Dynamical stability of a pendulum when its point of suspension vibrates
    • Pergamon Press, London
    • P.L. Kaptisa. Dynamical stability of a pendulum when its point of suspension vibrates. Collected Papers by P.L. Kapitsa, Vol. II. Pergamon Press, London, 1965, pp. 714-725.
    • (1965) Collected Papers by P.L. Kapitsa, Vol. II , vol.2 , pp. 714-725
    • Kaptisa, P.L.1
  • 10
    • 0000413954 scopus 로고
    • Pendulum with a vibrating suspension
    • Pergamon Press, London
    • P.L. Kaptisa. Pendulum with a vibrating suspension. Collected Papers by P.L. Kapitsa, Vol. II. Pergamon Press, London, 1965, pp. 726-737.
    • (1965) Collected Papers by P.L. Kapitsa, Vol. II , vol.2 , pp. 726-737
    • Kaptisa, P.L.1
  • 11
    • 0011080582 scopus 로고
    • Inverted pendulum
    • R.E. King. Inverted pendulum. Amer. J. Phys. 33 (1965), 855.
    • (1965) Amer. J. Phys. , vol.33 , pp. 855
    • King, R.E.1
  • 12
    • 0043043827 scopus 로고    scopus 로고
    • Geometry of Kapitsa's potentials
    • M. Levi. Geometry of Kapitsa's potentials. Nonlinearity 11 (1998), 1365-1368.
    • (1998) Nonlinearity , vol.11 , pp. 1365-1368
    • Levi, M.1
  • 13
    • 0001900679 scopus 로고    scopus 로고
    • Geometry and physics of averaging with applications
    • U. Levi. Geometry and physics of averaging with applications. Physica D 132 (1999), 150-164.
    • (1999) Physica D , vol.132 , pp. 150-164
    • Levi, U.1
  • 14
    • 0011102906 scopus 로고
    • Analog Devices. Columbia University Press, New York
    • F.J. Murray. Mathematical Machines, Vol. 2, Analog Devices. Columbia University Press, New York, 1961.
    • (1961) Mathematical Machines , vol.2
    • Murray, F.J.1
  • 15
    • 0002834714 scopus 로고
    • On the degree of precision of the adiabatic invariant conservation
    • A.I. Neishtadt. On the degree of precision of the adiabatic invariant conservation. Prikl. Math. Mech. 45(1) (1981), 80-87.
    • (1981) Prikl. Math. Mech. , vol.45 , Issue.1 , pp. 80-87
    • Neishtadt, A.I.1
  • 17
    • 0039219978 scopus 로고
    • Electromagnetic traps for charged and neutral particles
    • W. Paul. Electromagnetic traps for charged and neutral particles. Revs. Mod. Phys. 62 (1990), 531-540.
    • (1990) Revs. Mod. Phys. , vol.62 , pp. 531-540
    • Paul, W.1
  • 18
    • 0022043563 scopus 로고
    • Hill's equation with a large potential
    • M.I. Weinstein and J.B. Keller. Hill's equation with a large potential. SIAM J. Appl. Math. 45 (1985), 200-214.
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 200-214
    • Weinstein, M.I.1    Keller, J.B.2
  • 19
    • 0023428688 scopus 로고
    • Asymptotic behavior of stability regions for Hill's equation
    • M.I. Weinstein and J.B. Keller. Asymptotic behavior of stability regions for Hill's equation. SIAM J. Appl. Math. 47(5) (1987), 941-958.
    • (1987) SIAM J. Appl. Math. , vol.47 , Issue.5 , pp. 941-958
    • Weinstein, M.I.1    Keller, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.