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Volumn 210, Issue 4, 1998, Pages 529-553

Higher-order averaging and ultra-subharmonics in forced oscillators

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EID: 0006905161     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1326     Document Type: Article
Times cited : (17)

References (18)
  • 1
    • 0030573385 scopus 로고    scopus 로고
    • Second-order averaging and Melnikov analyses for forced non-linear oscillators
    • K. YAGASAKI 1996 Journal of Sound and Vibration 190, 587-609. Second-order averaging and Melnikov analyses for forced non-linear oscillators.
    • (1996) Journal of Sound and Vibration , vol.190 , pp. 587-609
    • Yagasaki, K.1
  • 3
    • 0019608348 scopus 로고
    • Second order averaging and bifurcations to subharmonics in Duffing's equation
    • C. HOLMES and P. HOLMES 1981 Journal of Sound and Vibration 78, 161-174. Second order averaging and bifurcations to subharmonics in Duffing's equation.
    • (1981) Journal of Sound and Vibration , vol.78 , pp. 161-174
    • Holmes, C.1    Holmes, P.2
  • 4
    • 0001255682 scopus 로고
    • Superstructure in the bifurcation set of the Duffing equation
    • U. PARLITZ and W. LAUTERBORN 1985 Physics Letters A 107, 351-355. Superstructure in the bifurcation set of the Duffing equation.
    • (1985) Physics Letters A , vol.107 , pp. 351-355
    • Parlitz, U.1    Lauterborn, W.2
  • 5
    • 19044385619 scopus 로고
    • Resonances and torsion numbers of driven dissipative nonlinear oscillators
    • U. PARLITZ and W. LAUTERBORN 1986 Zeitschrift für Naturforschung A 41, 605-614. Resonances and torsion numbers of driven dissipative nonlinear oscillators.
    • (1986) Zeitschrift für Naturforschung A , vol.41 , pp. 605-614
    • Parlitz, U.1    Lauterborn, W.2
  • 9
    • 0009287703 scopus 로고
    • Qualitative theory of nonlinear resonance by averaging and dynamical systems methods
    • J. Kirchgraber and H. O. Walther, editors. New York: Wiley
    • J. MURDOCK 1988 in Dynamics Reported, Vol. 1 (J. Kirchgraber and H. O. Walther, editors) 91-172. New York: Wiley. Qualitative theory of nonlinear resonance by averaging and dynamical systems methods.
    • (1988) Dynamics Reported , vol.1 , pp. 91-172
    • Murdock, J.1
  • 17
    • 0002747396 scopus 로고
    • Caltech. AUTO: Software for continuation and bifurcation problems in ordinary differential equations
    • E. DOEDEL and J. KERNÉVEZ 1986 Appl. Math. Reports, Caltech. AUTO: Software for continuation and bifurcation problems in ordinary differential equations.
    • (1986) Appl. Math. Reports
    • Doedel, E.1    Kernévez, J.2
  • 18
    • 0030127427 scopus 로고    scopus 로고
    • A simple feedback control system: Bifurcations of periodic orbits and chaos
    • K. YAGASAKI 1996 Nonlinear Dynamics 9, 391-417. A simple feedback control system: bifurcations of periodic orbits and chaos.
    • (1996) Nonlinear Dynamics , vol.9 , pp. 391-417
    • Yagasaki, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.