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Volumn 19, Issue 4, 1999, Pages 313-332

Double Hopf bifurcations and chaos of a nonlinear vibration system

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DAMPING; RESONANCE; VIBRATIONS (MECHANICAL);

EID: 0032677602     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008347523779     Document Type: Article
Times cited : (24)

References (19)
  • 1
    • 0000857092 scopus 로고
    • Unfoldings of certain singularities of vector fields: Generalized Hopf bifurcations
    • Takens, F., 'Unfoldings of certain singularities of vector fields: Generalized Hopf bifurcations', Journal of Differential Equations 14, 1973, 476-493.
    • (1973) Journal of Differential Equations , vol.14 , pp. 476-493
    • Takens, F.1
  • 5
    • 84972948989 scopus 로고
    • Static and dynamic bifurcations associated with a double zero eigenvalues
    • Yu, P. and Huseyin, K., 'Static and dynamic bifurcations associated with a double zero eigenvalues', Dynamics and Stability of Systems 1, 1986, 73-86.
    • (1986) Dynamics and Stability of Systems , vol.1 , pp. 73-86
    • Yu, P.1    Huseyin, K.2
  • 8
    • 0023995274 scopus 로고
    • On bifurcations into non-resonant quasi-periodic motions
    • Huseyin, K. and Yu, P., 'On bifurcations into non-resonant quasi-periodic motions', Applied Mathematics Modelling 12, 1988, 189-201.
    • (1988) Applied Mathematics Modelling , vol.12 , pp. 189-201
    • Huseyin, K.1    Yu, P.2
  • 9
    • 0025442956 scopus 로고
    • Dynamic behavior of an autonomous system with three pairs of pure imaginary eigenvalues
    • Yu, P. and Huseyin, K., 'Dynamic behavior of an autonomous system with three pairs of pure imaginary eigenvalues', International Journal of System Science 21, 1990, 993-1024.
    • (1990) International Journal of System Science , vol.21 , pp. 993-1024
    • Yu, P.1    Huseyin, K.2
  • 10
    • 0003160780 scopus 로고
    • On phase-locked motions associated with strong resonance
    • Yu, P. and Huseyin, K., 'On phase-locked motions associated with strong resonance', Quarterly Applied Mathematics 51, 1993, 91-100.
    • (1993) Quarterly Applied Mathematics , vol.51 , pp. 91-100
    • Yu, P.1    Huseyin, K.2
  • 11
    • 0002232810 scopus 로고
    • A simple global characterization for normal forms of singular vector fields
    • Elphick, C., Tirapegui, E., Brachet, M. E., Coullet, P., and Iooss, G., 'A simple global characterization for normal forms of singular vector fields', Physica D 29, 1987, 95-127.
    • (1987) Physica D , vol.29 , pp. 95-127
    • Elphick, C.1    Tirapegui, E.2    Brachet, M.E.3    Coullet, P.4    Iooss, G.5
  • 12
    • 0004822429 scopus 로고
    • Normal form for generalized Hopf bifurcation with nonsemisimple 1:1 resonance
    • Namachchivaya, N. S., Doyle, M. M., Langford, W. F., and Evans, N., 'Normal form for generalized Hopf bifurcation with nonsemisimple 1:1 resonance', ZAMP 45, 1994, 312-335.
    • (1994) ZAMP , vol.45 , pp. 312-335
    • Namachchivaya, N.S.1    Doyle, M.M.2    Langford, W.F.3    Evans, N.4
  • 13
    • 0000173986 scopus 로고
    • Hopf bifurcation with nonsemisimple 1:1 resonance
    • Gils, S. A., Krupa, M. P. M., and Langford, W. F., 'Hopf bifurcation with nonsemisimple 1:1 resonance', Nonlinearity 3, 1990, 1-26.
    • (1990) Nonlinearity , vol.3 , pp. 1-26
    • Gils, S.A.1    Krupa, M.P.M.2    Langford, W.F.3
  • 15
    • 0000033099 scopus 로고
    • Period-doubling bifurcations and chaotic motion for parametrically forced pendulum
    • McLaughlin, J. B., 'Period-doubling bifurcations and chaotic motion for parametrically forced pendulum', Journal of Statistical Physics 24, 1981, 375-388.
    • (1981) Journal of Statistical Physics , vol.24 , pp. 375-388
    • McLaughlin, J.B.1
  • 16
    • 0032487691 scopus 로고    scopus 로고
    • Analysis of non-linear dynamics and bifurcations of a double pendulum
    • Yu, P. and Bi, Q. S., 'Analysis of non-linear dynamics and bifurcations of a double pendulum', Journal of Sound and Vibration 217, 1998, 691-736.
    • (1998) Journal of Sound and Vibration , vol.217 , pp. 691-736
    • Yu, P.1    Bi, Q.S.2
  • 19
    • 0001790023 scopus 로고    scopus 로고
    • Computation of normal forms via a perturbation technique
    • Yu, P., 'Computation of normal forms via a perturbation technique', Journal of Sound and Vibration 211, 1998, 19-38.
    • (1998) Journal of Sound and Vibration , vol.211 , pp. 19-38
    • Yu, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.