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Volumn 35, Issue 30, 2002, Pages 6209-6231

Subharmonic resonances of the parametrically driven pendulum

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EID: 0037008545     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/30/301     Document Type: Article
Times cited : (42)

References (23)
  • 1
    • 0038737535 scopus 로고    scopus 로고
    • The rigid pendulum - An antique but evergreen physical model
    • Butikov E I 1999 The rigid pendulum - an antique but evergreen physical model Eur. J. Phys. 20 429-41
    • (1999) Eur. J. Phys. , vol.20 , pp. 429-441
    • Butikov, E.I.1
  • 2
    • 0000033099 scopus 로고
    • Period-doubling bifurcations and chaotic motion for a parametrically forced pendulum
    • McLaughlin J B 1981 Period-doubling bifurcations and chaotic motion for a parametrically forced pendulum J. Stat. Phys. 24 375-88
    • (1981) J. Stat. Phys. , vol.24 , pp. 375-388
    • McLaughlin, J.B.1
  • 3
    • 0007370213 scopus 로고
    • Experimental evidence for chaotic behavior of a parametrically forced pendulum
    • Koch B P, Leven R W, Pompe B and Wilke C 1983 Experimental evidence for chaotic behavior of a parametrically forced pendulum Phys. Lett. A 96 219-24
    • (1983) Phys. Lett. A , vol.96 , pp. 219-224
    • Koch, B.P.1    Leven, R.W.2    Pompe, B.3    Wilke, C.4
  • 4
    • 0022091575 scopus 로고
    • Experiments on periodic and chaotic motions of a parametrically forced pendulum
    • Leven R W, Pompe B, Wilke C and Koch B P 1985 Experiments on periodic and chaotic motions of a parametrically forced pendulum Physica D 16 371-84
    • (1985) Physica D , vol.16 , pp. 371-384
    • Leven, R.W.1    Pompe, B.2    Wilke, C.3    Koch, B.P.4
  • 5
    • 0013294485 scopus 로고
    • Unstable periodic orbits in the parametrically excited pendulum
    • van de Water W and Hoppenbrouwers M 1991 Unstable periodic orbits in the parametrically excited pendulum Phys. Rev. A 44 6388-98
    • (1991) Phys. Rev. A , vol.44 , pp. 6388-6398
    • Van de Water, W.1    Hoppenbrouwers, M.2
  • 6
    • 0001425769 scopus 로고
    • Control of a chaotic parametrically driven pendulum
    • Starrett J and Tagg R 1995 Control of a chaotic parametrically driven pendulum Phys. Rev. Lett. 74 1974-7
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1974-1977
    • Starrett, J.1    Tagg, R.2
  • 7
    • 0032160974 scopus 로고    scopus 로고
    • Bifurcations and transitions to chaos in an inverted pendulum
    • Kim Sang-Yoon and Hu Bambi 1998 Bifurcations and transitions to chaos in an inverted pendulum Phys. Rev. E 58 3028-35
    • (1998) Phys. Rev. E , vol.58 , pp. 3028-3035
    • Kim, S.-Y.1    Hu, B.2
  • 8
    • 0000450303 scopus 로고
    • On an induced stability
    • Stephenson A 1908 On an induced stability Phil. Mag. 15 233-6 Stephenson A 1908 On anew type of dynamical stability Mem. Proc. Manch. Lit. Phil. Soc. 52 1-10
    • (1908) Phil. Mag. , vol.15 , pp. 233-236
    • Stephenson, A.1
  • 9
    • 0002696462 scopus 로고
    • On anew type of dynamical stability
    • Stephenson A 1908 On an induced stability Phil. Mag. 15 233-6 Stephenson A 1908 On anew type of dynamical stability Mem. Proc. Manch. Lit. Phil. Soc. 52 1-10
    • (1908) Mem. Proc. Manch. Lit. Phil. Soc. , vol.52 , pp. 1-10
    • Stephenson, A.1
  • 10
    • 0001129251 scopus 로고
    • Dynamic stability of the pendulum with vibrating suspension point
    • in Russian
    • Kapitza P L 1951 Dynamic stability of the pendulum with vibrating suspension point Sov. Phys.-JETP 21 588-97 (in Russian) See also Kapitza P L 1965 Collected Papers of P L Kapitza vol 2 ed D Ter Haar (London: Pergamon) pp 714-26
    • (1951) Sov. Phys.-JETP , vol.21 , pp. 588-597
    • Kapitza, P.L.1
  • 11
    • 0000413954 scopus 로고
    • ed D Ter Haar (London: Pergamon)
    • Kapitza P L 1951 Dynamic stability of the pendulum with vibrating suspension point Sov. Phys.-JETP 21 588-97 (in Russian) See also Kapitza P L 1965 Collected Papers of P L Kapitza vol 2 ed D Ter Haar (London: Pergamon) pp 714-26
    • (1965) Collected Papers of P L Kapitza , vol.2 , pp. 714-726
    • Kapitza, P.L.1
  • 12
    • 0004270413 scopus 로고
    • Moscow: Nauka (in Russian)
    • Landau L D and Lifschitz E M 1988 Mechanics (Moscow: Nauka) (in Russian) Landau L D and Lifschitz E M 1976 Mechanics (New York: Pergamon) pp 93-5
    • (1988) Mechanics
    • Landau, L.D.1    Lifschitz, E.M.2
  • 13
    • 0004270403 scopus 로고
    • New York: Pergamon
    • Landau L D and Lifschitz E M 1988 Mechanics (Moscow: Nauka) (in Russian) Landau L D and Lifschitz E M 1976 Mechanics (New York: Pergamon) pp 93-5
    • (1976) Mechanics , pp. 93-95
    • Landau, L.D.1    Lifschitz, E.M.2
  • 15
    • 21144461636 scopus 로고
    • Experimental study of an inverted pendulum
    • Smith H J T and Blackburn J A 1992 Experimental study of an inverted pendulum Am. J. Phys. 60 909-11
    • (1992) Am. J. Phys. , vol.60 , pp. 909-911
    • Smith, H.J.T.1    Blackburn, J.A.2
  • 16
    • 0002588421 scopus 로고
    • Multiple-nodding oscillations of a driven inverted pendulum
    • Acheson D J 1995 Multiple-nodding oscillations of a driven inverted pendulum Proc. R. Soc. A 448 89-95
    • (1995) Proc. R. Soc. A , vol.448 , pp. 89-95
    • Acheson, D.J.1
  • 17
    • 0040758100 scopus 로고    scopus 로고
    • Simulations of nolinear pivot-driven pendula
    • Grandy W T Jr and Schöck M 1997 Simulations of nolinear pivot-driven pendula Am. J. Phys. 65 376-81
    • (1997) Am. J. Phys. , vol.65 , pp. 376-381
    • Grandy W.T., Jr.1    Schöck, M.2
  • 18
    • 0032339876 scopus 로고    scopus 로고
    • Experimental investigation of the 'effective potential' of an inverted pendulum
    • Fenn J G, Bayne D A and Sinclair B D 1998 Experimental investigation of the 'effective potential' of an inverted pendulum Am. J. Phys. 66 981-4
    • (1998) Am. J. Phys. , vol.66 , pp. 981-984
    • Fenn, J.G.1    Bayne, D.A.2    Sinclair, B.D.3
  • 19
    • 33746417963 scopus 로고    scopus 로고
    • Inverted oscillations of a driven pendulum
    • Clifford M J and Bishop S R 1998 Inverted oscillations of a driven pendulum Proc. R. Soc. A 454 2811-7
    • (1998) Proc. R. Soc. A , vol.454 , pp. 2811-2817
    • Clifford, M.J.1    Bishop, S.R.2
  • 20
    • 0032598319 scopus 로고    scopus 로고
    • Inverted dynamics of a tilted parametric pendulum
    • Sudor D J and Bishop S R 1999 Inverted dynamics of a tilted parametric pendulum Eur. J. Mech. A/Solids 18 517-26
    • (1999) Eur. J. Mech. A/Solids , vol.18 , pp. 517-526
    • Sudor, D.J.1    Bishop, S.R.2
  • 23
    • 0035595759 scopus 로고    scopus 로고
    • On the dynamic stabilization of an inverted pendulum
    • Butikov E I 2001 On the dynamic stabilization of an inverted pendulum Am. J. Phys. 69 755-68
    • (2001) Am. J. Phys. , vol.69 , pp. 755-768
    • Butikov, E.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.