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Volumn 234, Issue 3, 2000, Pages 547-553

Elliptic multiple scales method for a class of autonomous strongly non-linear oscillators

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; EQUATIONS OF MOTION; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; OSCILLATORS (MECHANICAL); PERTURBATION TECHNIQUES; POLYNOMIALS;

EID: 0034230399     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.2883     Document Type: Editorial
Times cited : (18)

References (18)
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    • (1981)
    • NAYFEH, A.H.1
  • 3
    • 85120092782 scopus 로고
    • N.N. BOGOLIOUBOV Y.A. MITROPOLSKY Asymptotic Methods in the Theory of Nonlinear Oscillations 1961 Gordon and Breach New York
    • (1961)
    • BOGOLIOUBOV, N.N.1    MITROPOLSKY, Y.A.2
  • 4
    • 85120131495 scopus 로고
    • A.H. NAYFEH Perturbation Methods 1973 John Wiley New York
    • (1973)
    • NAYFEH, A.H.1
  • 5
    • 85120117997 scopus 로고    scopus 로고
    • V.T. COPPOLA A. Guran Nonlinear Dynamics 1997 World ScientificPerturbation methods for strongly nonlinear oscillators using Lie transforms
    • (1997)
    • COPPOLA, V.T.1
  • 6
    • 0039423354 scopus 로고
    • Construction of approximate analytical solutions to a new class of non-linear oscillator equation
    • R.E. MICKENS K. OYEDEJI Construction of approximate analytical solutions to a new class of non-linear oscillator equation Journal of Sound and Vibration 102 1985 579 582
    • (1985) Journal of Sound and Vibration , vol.102 , pp. 579-582
    • MICKENS, R.E.1    OYEDEJI, K.2
  • 7
    • 0022790036 scopus 로고
    • Construction of approximate analytical solutions to a new class of non-linear oscillator equations
    • S.B. YUSTE J.D. BEJARANO Construction of approximate analytical solutions to a new class of non-linear oscillator equations Journal of Sound and Vibration 110 1986 347 350
    • (1986) Journal of Sound and Vibration , vol.110 , pp. 347-350
    • YUSTE, S.B.1    BEJARANO, J.D.2
  • 9
    • 0025702755 scopus 로고
    • Generalized Fourier series and limit cycles of generalized Van der Pol oscillators
    • J.G. MARGALLO J.D. BEJARANO Generalized Fourier series and limit cycles of generalized Van der Pol oscillators Journal of Sound and Vibration 136 1990 453 466
    • (1990) Journal of Sound and Vibration , vol.136 , pp. 453-466
    • MARGALLO, J.G.1    BEJARANO, J.D.2
  • 10
    • 0024648820 scopus 로고
    • Extension and improvement to the Krylov–Bogolioubov methods using elliptic functions
    • S.B. YUSTE J.D. BEJARANO Extension and improvement to the Krylov–Bogolioubov methods using elliptic functions International Journal of Control 49 1989 1127 1141
    • (1989) International Journal of Control , vol.49 , pp. 1127-1141
    • YUSTE, S.B.1    BEJARANO, J.D.2
  • 11
    • 0025206791 scopus 로고
    • Averaging using elliptic functions: approximations of limit cycle
    • V.T. COPPOLA R.H. RAND Averaging using elliptic functions: approximations of limit cycle Acta Mechanica 81 1990 125 142
    • (1990) Acta Mechanica , vol.81 , pp. 125-142
    • COPPOLA, V.T.1    RAND, R.H.2
  • 13
    • 0030563949 scopus 로고    scopus 로고
    • An elliptic-perturbation method for certain strongly non-linear oscillators
    • S.H. CHEN Y.K. CHEUNG An elliptic-perturbation method for certain strongly non-linear oscillators Journal of Sound and Vibration 192 1996 453 464
    • (1996) Journal of Sound and Vibration , vol.192 , pp. 453-464
    • CHEN, S.H.1    CHEUNG, Y.K.2
  • 14
    • 0031095817 scopus 로고    scopus 로고
    • An elliptic Lindstedt-Poincaré method for certain strongly non-linear oscillators
    • S.H. CHEN Y.K. CHEUNG An elliptic Lindstedt-Poincaré method for certain strongly non-linear oscillators Nonlinear Dynamics 12 1997 199 213
    • (1997) Nonlinear Dynamics , vol.12 , pp. 199-213
    • CHEN, S.H.1    CHEUNG, Y.K.2
  • 15
    • 0013027015 scopus 로고    scopus 로고
    • Homoclinic connections in strongly self-excited nonlinear oscillators: the Melnikov function and the elliptic Lindstedt–Poincaré method
    • M. BELHAQ B. FIEDLER F. LAKRAD Homoclinic connections in strongly self-excited nonlinear oscillators: the Melnikov function and the elliptic Lindstedt–Poincaré method Nonlinear Dynamics 2000
    • (2000) Nonlinear Dynamics
    • BELHAQ, M.1    FIEDLER, B.2    LAKRAD, F.3
  • 16
    • 85120117875 scopus 로고    scopus 로고
    • M. BELHAQ, F. LAKRAD, 2000, Chaos Solitons and Fractals, Prediction of homoclinic bifurcation: the elliptic averaging method (to be published)
  • 17
    • 0034206434 scopus 로고    scopus 로고
    • On the elliptic harmonic balance method for mixed parity non-linear oscillators (to be published)
    • M. BELHAQ F. LAKRAD On the elliptic harmonic balance method for mixed parity non-linear oscillators (to be published) Journal of Sound and Vibration 2000
    • (2000) Journal of Sound and Vibration
    • BELHAQ, M.1    LAKRAD, F.2
  • 18
    • 85120092938 scopus 로고
    • P.F. BYRD M.D. FRIEDMAN Handbook of Elliptic Integrals for Engineers and Scientists 1971 Springer-Verlag Berlin
    • (1971)
    • BYRD, P.F.1    FRIEDMAN, M.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.