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Volumn 28, Issue 3, 2006, Pages 673-681

Breaking the symmetry of the parametrically excited pendulum

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CONTROL SYSTEMS; MATHEMATICAL MODELS;

EID: 27644553166     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.07.014     Document Type: Article
Times cited : (30)

References (15)
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    • M. Bikdash, B. Balachandran, and A. Nayfeh Melnikov analysis for a ship with a general roll-damping model Nonlinear Dyn 6 1994 101 124
    • (1994) Nonlinear Dyn , vol.6 , pp. 101-124
    • Bikdash, M.1    Balachandran, B.2    Nayfeh, A.3
  • 3
    • 13544258275 scopus 로고    scopus 로고
    • The use of low dimensional models of engineering dynamical systems
    • S.R. Bishop The use of low dimensional models of engineering dynamical systems Nonlinear Phenomena Complex Syst 3 1 2000 71 80
    • (2000) Nonlinear Phenomena Complex Syst , vol.3 , Issue.1 , pp. 71-80
    • Bishop, S.R.1
  • 4
    • 13544256636 scopus 로고    scopus 로고
    • Symmetry-breaking in the response of the parametrically excited pendulum model
    • S.R. Bishop, A. Sofroniou, and P. Shi Symmetry-breaking in the response of the parametrically excited pendulum model Chaos, Solitons & Fractals 25 2 2005 257 264
    • (2005) Chaos, Solitons & Fractals , vol.25 , Issue.2 , pp. 257-264
    • Bishop, S.R.1    Sofroniou, A.2    Shi, P.3
  • 5
    • 0027929415 scopus 로고
    • Periodic oscillations and attracting basins for a parametrically excited pendulum
    • D. Capecchi, and S.R. Bishop Periodic oscillations and attracting basins for a parametrically excited pendulum Dyn Stab Syst 9 2 1994 123 143
    • (1994) Dyn Stab Syst , vol.9 , Issue.2 , pp. 123-143
    • Capecchi, D.1    Bishop, S.R.2
  • 6
    • 0028427637 scopus 로고
    • Approximating the escape zone for the parametrically excited pendulum
    • M. Clifford, and S.R. Bishop Approximating the escape zone for the parametrically excited pendulum J Sound Vib 172 4 1994 572 576
    • (1994) J Sound Vib , vol.172 , Issue.4 , pp. 572-576
    • Clifford, M.1    Bishop, S.R.2
  • 9
    • 0347303241 scopus 로고    scopus 로고
    • The nonlinear dynamics of ship motions: A field overview and some recent developments
    • K.J. Spyrou, and J.M.T. Thompson The nonlinear dynamics of ship motions: a field overview and some recent developments Philos Trans R Soc London A 358 2000 1735 1760
    • (2000) Philos Trans R Soc London A , vol.358 , pp. 1735-1760
    • Spyrou, K.J.1    Thompson, J.M.T.2
  • 10
    • 0034297630 scopus 로고    scopus 로고
    • Estimating the escape zone for a parametrically excited pendulum-type equation
    • I.W. Stewart, and T.R. Faulkner Estimating the escape zone for a parametrically excited pendulum-type equation Phys Rev E 62 4 2000 4856 4861
    • (2000) Phys Rev e , vol.62 , Issue.4 , pp. 4856-4861
    • Stewart, I.W.1    Faulkner, T.R.2
  • 11
    • 0032598319 scopus 로고    scopus 로고
    • Inverted dynamics of a tilted parametric pendulum
    • D. Sudor, and S.R. Bishop Inverted dynamics of a tilted parametric pendulum Eur J Mech A/Solids 18 1999 517 526
    • (1999) Eur J Mech A/Solids , vol.18 , pp. 517-526
    • Sudor, D.1    Bishop, S.R.2
  • 12
    • 0034257472 scopus 로고    scopus 로고
    • The global bifurcations that lead to transient tumbling chaos in a parametrically driven pendulum
    • W. Szemplińska-Stupnicka, E. Tyrkiel, and A. Zubrzychi The global bifurcations that lead to transient tumbling chaos in a parametrically driven pendulum Int J Bifurcat Chaos 10 9 2000 2161 2175
    • (2000) Int J Bifurcat Chaos , vol.10 , Issue.9 , pp. 2161-2175
    • Szemplińska-Stupnicka, W.1    Tyrkiel, E.2    Zubrzychi, A.3
  • 14
    • 0023327558 scopus 로고
    • The nonlinear rolling response of a vessel including chaotic motions leading to capsize in regular seas
    • L.N. Virgin The nonlinear rolling response of a vessel including chaotic motions leading to capsize in regular seas Appl Ocean Res 9 2 1987 89 95
    • (1987) Appl Ocean Res , vol.9 , Issue.2 , pp. 89-95
    • Virgin, L.N.1
  • 15
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    • Rotating solutions for a parametrically driven pendulum
    • X. Xu, M. Wiercigroch, and M.P. Cartmell Rotating solutions for a parametrically driven pendulum Chaos, Solitons & Fractals 23 5 2005 1537 1548
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.