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Volumn 34, Issue 2, 2007, Pages 197-212

Symmetry-breaking analysis for the general Helmholtz-Duffing oscillator

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOTIC SYSTEMS; FUNCTION EVALUATION; HELMHOLTZ EQUATION; SYSTEM STABILITY;

EID: 34147115152     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.04.010     Document Type: Article
Times cited : (59)

References (22)
  • 1
    • 27644553166 scopus 로고    scopus 로고
    • Breaking the symmetry of the parametrically excited pendulum
    • Sofroniou A., and Bishop S.R. Breaking the symmetry of the parametrically excited pendulum. Chaos, Solitons & Fractals 28 (2006) 673-681
    • (2006) Chaos, Solitons & Fractals , vol.28 , pp. 673-681
    • Sofroniou, A.1    Bishop, S.R.2
  • 2
  • 3
    • 13544256636 scopus 로고    scopus 로고
    • Symmetry-breaking in the response of the parametrically excited pendulum
    • Bishop S.R., Sofroniou A., and Shi P. Symmetry-breaking in the response of the parametrically excited pendulum. Chaos, Solitons & Fractals 25 (2005) 257-264
    • (2005) Chaos, Solitons & Fractals , vol.25 , pp. 257-264
    • Bishop, S.R.1    Sofroniou, A.2    Shi, P.3
  • 4
    • 0001836882 scopus 로고    scopus 로고
    • Symmetry-breaking bifurcation with on-off intermittency in chaotic dynamical systems
    • Lai Y.C. Symmetry-breaking bifurcation with on-off intermittency in chaotic dynamical systems. Phys Rev E 53 (1996) 4267-4270
    • (1996) Phys Rev E , vol.53 , pp. 4267-4270
    • Lai, Y.C.1
  • 5
    • 0037410897 scopus 로고    scopus 로고
    • Chaotic responses of a deformable system under parametric and external excitations
    • Yamgoué S.B., and Kofané T.C. Chaotic responses of a deformable system under parametric and external excitations. Chaos, Solitons & Fractals 17 (2003) 155-167
    • (2003) Chaos, Solitons & Fractals , vol.17 , pp. 155-167
    • Yamgoué, S.B.1    Kofané, T.C.2
  • 8
    • 0026818088 scopus 로고
    • Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power system
    • Ajjarapu V., and Lee B. Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power system. Trans Power Syst l7 1 (1992) 424-431
    • (1992) Trans Power Syst , vol.l7 , Issue.1 , pp. 424-431
    • Ajjarapu, V.1    Lee, B.2
  • 9
    • 0024732820 scopus 로고
    • Towards a theory of voltage collapse in electric power systems
    • Dobson I., and Chiang H.D. Towards a theory of voltage collapse in electric power systems. Syst Control Lett 13 (1989) 253-262
    • (1989) Syst Control Lett , vol.13 , pp. 253-262
    • Dobson, I.1    Chiang, H.D.2
  • 11
    • 0028499289 scopus 로고
    • Chaos in a pendulum with feedback control
    • Yagasaki K. Chaos in a pendulum with feedback control. Nonlinear Dyn 6 (1994) 125-142
    • (1994) Nonlinear Dyn , vol.6 , pp. 125-142
    • Yagasaki, K.1
  • 12
    • 0010425523 scopus 로고    scopus 로고
    • Symmetry-breaking perturbations and strange attractors
    • Litvak-Hinenzon A., and Rom-Kedar V. Symmetry-breaking perturbations and strange attractors. J Sound Vib 55 (1997) 4964-4978
    • (1997) J Sound Vib , vol.55 , pp. 4964-4978
    • Litvak-Hinenzon, A.1    Rom-Kedar, V.2
  • 13
    • 0141958721 scopus 로고    scopus 로고
    • Optimal control of nonregular dynamics in a Duffing oscillator
    • Lenci S., and Rega G. Optimal control of nonregular dynamics in a Duffing oscillator. Nonlinear Dynam 33 (2003) 71-86
    • (2003) Nonlinear Dynam , vol.33 , pp. 71-86
    • Lenci, S.1    Rega, G.2
  • 14
    • 1642287596 scopus 로고    scopus 로고
    • Global optimal control and system-dependent solutions in the hardening Helmholtz-Duffing oscillator
    • Lenci S., and Rega G. Global optimal control and system-dependent solutions in the hardening Helmholtz-Duffing oscillator. Chaos, Solitons & Fractals 21 (2004) 1031-1046
    • (2004) Chaos, Solitons & Fractals , vol.21 , pp. 1031-1046
    • Lenci, S.1    Rega, G.2
  • 16
    • 0037462842 scopus 로고    scopus 로고
    • Integrability and symmetry for the Helmholtz oscillator with friction
    • Almendral J.A., and Sanjuán M.A.F. Integrability and symmetry for the Helmholtz oscillator with friction. J Phys A: Math Gen 36 (2003) 695
    • (2003) J Phys A: Math Gen , vol.36 , pp. 695
    • Almendral, J.A.1    Sanjuán, M.A.F.2
  • 17
    • 0040038407 scopus 로고    scopus 로고
    • The effect of nonlinear damping on the universal escape oscillator
    • Sanjuán M.A.F. The effect of nonlinear damping on the universal escape oscillator. Int J Bifurcat Chaos 9 (1999) 735-744
    • (1999) Int J Bifurcat Chaos , vol.9 , pp. 735-744
    • Sanjuán, M.A.F.1
  • 19
    • 0028468228 scopus 로고
    • Melnikov analysis for a ship with a general roll-damping model
    • Bikdash M., Balachandran B., and Nayfeh A. 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
  • 20
    • 0030573385 scopus 로고    scopus 로고
    • Second-order averaging and Melnikov analysis for forced nonlinear oscillators
    • Yagasaki K. Second-order averaging and Melnikov analysis for forced nonlinear oscillators. Nonlinear Dyn 190 (1996) 587-609
    • (1996) Nonlinear Dyn , vol.190 , pp. 587-609
    • Yagasaki, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.