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Volumn 15, Issue 9, 2005, Pages 2747-2756

Geometry of vibrational stabilization and some applications

Author keywords

Averaging; Nonholonomic constraints; Stabilization

Indexed keywords


EID: 27544476546     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127405013745     Document Type: Conference Paper
Times cited : (7)

References (32)
  • 1
    • 0001444637 scopus 로고
    • Upside-down pendulums
    • Acheson, D. J. & Mullin, T. [1993] "Upside-down pendulums, " Nature 366, 215-216.
    • (1993) Nature , vol.366 , pp. 215-216
    • Acheson, D.J.1    Mullin, T.2
  • 4
    • 0001594095 scopus 로고
    • Inverted pendulum
    • Blitzer, L. [1965] "Inverted pendulum," Amer. J. Phys. 33, 1076.
    • (1965) Amer. J. Phys. , vol.33 , pp. 1076
    • Blitzer, L.1
  • 5
    • 27544505680 scopus 로고
    • [1950/1951] U. S. Patents, # 2,531,028 and # 2,567,904
    • Christofilos, N. [1950/1951] U. S. Patents, # 2,531,028 and # 2,567,904, 1950 and 1951.
    • (1950)
    • Christofilos, N.1
  • 7
    • 0006828652 scopus 로고
    • Laser trapping of neutral particles
    • Chu, S. [1992] "Laser trapping of neutral particles," Sci. Amer. 266, 71-76.
    • (1992) Sci. Amer. , vol.266 , pp. 71-76
    • Chu, S.1
  • 9
    • 5344241709 scopus 로고
    • Double-well dynamics of two ions in the Paul & Penning traps
    • Farrelly, D. & Howard, J. E. [1994] "Double-well dynamics of two ions in the Paul & Penning traps," Phys. Rev. A. 49, 1494-1497.
    • (1994) Phys. Rev. A. , vol.49 , pp. 1494-1497
    • Farrelly, D.1    Howard, J.E.2
  • 10
    • 0032133450 scopus 로고    scopus 로고
    • Geometry of the Prytz planimeter
    • Foote, R. L. [1998] "Geometry of the Prytz planimeter," Rep. Math. Phys. 42, 249-271.
    • (1998) Rep. Math. Phys. , vol.42 , pp. 249-271
    • Foote, R.L.1
  • 11
    • 0000280726 scopus 로고
    • The inverted pendulum
    • Kalmus, H. P. [1970] "The inverted pendulum," Amer. J. Phys. 38, 874.
    • (1970) Amer. J. Phys. , vol.38 , pp. 874
    • Kalmus, H.P.1
  • 12
    • 0000413954 scopus 로고
    • Dynamical stability of a pendulum when its point of suspension vibrates
    • Pergamon Press, London
    • Kaptisa, P. L. [1965a] "Dynamical stability of a pendulum when its point of suspension vibrates," Collected Papers by P. L. Kaptisa, Vol. II (Pergamon Press, London), pp. 714-725.
    • (1965) Collected Papers by P. L. Kaptisa , vol.2 , pp. 714-725
    • Kaptisa, P.L.1
  • 13
    • 0000413954 scopus 로고
    • Pendulum with a vibrating suspension
    • Pergamon Press, London
    • Kaptisa, P. L. [1965b] "Pendulum with a vibrating suspension," Collected Papers by P. L. Kaptisa, Vol. II (Pergamon Press, London), pp. 726-737.
    • (1965) Collected Papers by P. L. Kaptisa , vol.2 , pp. 726-737
    • Kaptisa, P.L.1
  • 14
    • 0011080582 scopus 로고
    • Inverted pendulum
    • King, R. E. [1965] "Inverted pendulum," Amer. J. Phys. 33, p. 855.
    • (1965) Amer. J. Phys. , vol.33 , pp. 855
    • King, R.E.1
  • 16
    • 0024127333 scopus 로고
    • Stability of the inverted pendulum - A topological explanation
    • Levi, M. [1988] "Stability of the inverted pendulum - a topological explanation," SIAM Rev. 30, 639-644.
    • (1988) SIAM Rev. , vol.30 , pp. 639-644
    • Levi, M.1
  • 17
    • 2342537539 scopus 로고
    • Stabilization of the inverted linearized pendulum by vibration
    • Levi, M. & Weckesser, W. [1995] "Stabilization of the inverted linearized pendulum by vibration," SIAM Rev. 37, 219-223.
    • (1995) SIAM Rev. , vol.37 , pp. 219-223
    • Levi, M.1    Weckesser, W.2
  • 18
    • 0043043827 scopus 로고    scopus 로고
    • Geometry of Kapitsa's potentials
    • Levi, M. [1998] "Geometry of Kapitsa's potentials," Nonlinearity 11, 1365-1368.
    • (1998) Nonlinearity , vol.11 , pp. 1365-1368
    • Levi, M.1
  • 19
    • 0001900679 scopus 로고    scopus 로고
    • Geometry and physics of averaging with applications
    • Levi, M. [1999] "Geometry and physics of averaging with applications," Physica D132, 150-164.
    • (1999) Physica , vol.D132 , pp. 150-164
    • Levi, M.1
  • 20
    • 0036802523 scopus 로고    scopus 로고
    • Non-holonomic effects in averaging
    • Levi, M. & Weckesser, W. [2002] "Non-holonomic effects in averaging," Erg. Th. Dyn. Syst. 22, 1497-1506.
    • (2002) Erg. Th. Dyn. Syst. , vol.22 , pp. 1497-1506
    • Levi, M.1    Weckesser, W.2
  • 21
    • 26944438864 scopus 로고
    • An inverted liquid demonstration
    • Michaelis, M. M. & Woodward, T. [1991] "An inverted liquid demonstration," Amer. J. Phys. 59, 816-821.
    • (1991) Amer. J. Phys. , vol.59 , pp. 816-821
    • Michaelis, M.M.1    Woodward, T.2
  • 22
    • 0007447534 scopus 로고
    • Small oscillations of a stable inverted pendulum
    • Ness, D. J. [1967] "Small oscillations of a stable inverted pendulum," Amer. J. Phys. 35, 964.
    • (1967) Amer. J. Phys. , vol.35 , pp. 964
    • Ness, D.J.1
  • 24
    • 0039219978 scopus 로고
    • Electromagnetic traps for charged and neutral particles
    • Paul, W. [1990] "Electromagnetic traps for charged and neutral particles," Revs. Mod. Phys. 62, 531-540.
    • (1990) Revs. Mod. Phys. , vol.62 , pp. 531-540
    • Paul, W.1
  • 25
    • 84945561508 scopus 로고
    • An analytic solution of the inverted pendulum
    • Phelps III, F. M. & Hunter Jr., J. H. [1965] "An analytic solution of the inverted pendulum," Amer. J. Phys. 33, 285-295.
    • (1965) Amer. J. Phys. , vol.33 , pp. 285-295
    • Phelps III, F.M.1    Hunter Jr., J.H.2
  • 28
    • 0002696462 scopus 로고
    • On a new type of dynamical stability
    • Stephenson, A. [1908] "On a new type of dynamical stability," Manchester Memoirs 52, 1-10.
    • (1908) Manchester Memoirs , vol.52 , pp. 1-10
    • Stephenson, A.1
  • 32
    • 0031153837 scopus 로고    scopus 로고
    • Global dynamics of a rapidly forced cart and pendulum
    • Weibel, S., Baillieul, J. & Kaper, T. [1997] "Global dynamics of a rapidly forced cart and pendulum," Nonlin. Dyn. 13, 131-170.
    • (1997) Nonlin. Dyn. , vol.13 , pp. 131-170
    • Weibel, S.1    Baillieul, J.2    Kaper, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.