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Volumn 32, Issue 5, 2005, Pages 553-560

An equivalent nonlinearization method for strongly nonlinear oscillations

Author keywords

Equivalent nonlinearization; Free electron laser; Least squares method; Slowly varying parameter; Strongly nonlinear oscillator

Indexed keywords

DIFFERENTIAL EQUATIONS; FREE ELECTRON LASERS; MECHANICS; OSCILLATIONS; OSCILLATORS (MECHANICAL); POLYNOMIALS;

EID: 21244446140     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2004.10.004     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 0345763839 scopus 로고    scopus 로고
    • Approximate potentials with applications to strongly nonlinear oscillators with slowly varying parameters
    • J. Cai, and Y.P. Li Approximate potentials with applications to strongly nonlinear oscillators with slowly varying parameters Shock and Vibration 10 5-6 2003 379 386
    • (2003) Shock and Vibration , vol.10 , Issue.5-6 , pp. 379-386
    • Cai, J.1    Li, Y.P.2
  • 2
    • 3042561901 scopus 로고    scopus 로고
    • Strongly non-linear oscillations with slowly varying parameters
    • J. Cai, and Y.P. Li Strongly non-linear oscillations with slowly varying parameters Journal of Sound and Vibration 275 1-2 2004 241 248
    • (2004) Journal of Sound and Vibration , vol.275 , Issue.1-2 , pp. 241-248
    • Cai, J.1    Li, Y.P.2
  • 4
    • 0030563949 scopus 로고    scopus 로고
    • Perturbation method for certain strongly nonlinear oscillations
    • S.H. Chen, and Y.K. Cheung Perturbation method for certain strongly nonlinear oscillations Journal of Sound and Vibration 192 2 1996 453 464
    • (1996) Journal of Sound and Vibration , vol.192 , Issue.2 , pp. 453-464
    • Chen, S.H.1    Cheung, Y.K.2
  • 5
    • 0022755940 scopus 로고
    • Asymptotic solutions to a class of nonlinear oscillation systems
    • S.Q. Dai, and F.Q. Zhuang Asymptotic solutions to a class of nonlinear oscillation systems Scientia Sinica (Science in China) Series A 29 7 1986 737 744
    • (1986) Scientia Sinica (Science in China) Series A , vol.29 , Issue.7 , pp. 737-744
    • Dai, S.Q.1    Zhuang, F.Q.2
  • 6
    • 0037281868 scopus 로고    scopus 로고
    • Linearized perturbation technique and its applications to strongly nonlinear oscillations
    • J.H. He Linearized perturbation technique and its applications to strongly nonlinear oscillations Computers and mathematics with Applications 45 2003 1 8
    • (2003) Computers and Mathematics with Applications , vol.45 , pp. 1-8
    • He, J.H.1
  • 7
    • 0023422341 scopus 로고
    • Perturbation techniques for oscillatory systems with slowly varying coefficients
    • J. Kevorkian Perturbation techniques for oscillatory systems with slowly varying coefficients SIAM Review 29 1987 391 461
    • (1987) SIAM Review , vol.29 , pp. 391-461
    • Kevorkian, J.1
  • 8
    • 0023994559 scopus 로고
    • Explicit approximations for strictly nonlinear oscillators with slowly varying parameters with applications to free-electron lasers
    • J. Kevorkian, and Y.P. Li Explicit approximations for strictly nonlinear oscillators with slowly varying parameters with applications to free-electron lasers Studies in Applied Mathematics 78 2 1988 111 165
    • (1988) Studies in Applied Mathematics , vol.78 , Issue.2 , pp. 111-165
    • Kevorkian, J.1    Li, Y.P.2
  • 10
    • 0007070254 scopus 로고
    • Asymptotic solutions of nonlinear second order differential equations with variable coefficients
    • G.Z. Kuzmak Asymptotic solutions of nonlinear second order differential equations with variable coefficients Pure Math Manuscript 23 1959 515 526
    • (1959) Pure Math Manuscript , vol.23 , pp. 515-526
    • Kuzmak, G.Z.1
  • 11
    • 0030109767 scopus 로고
    • Energy method for computing periodic solutions of strongly nonlinear systems (1)-autonomous systems
    • L. Li Energy method for computing periodic solutions of strongly nonlinear systems (1)-autonomous systems Nonlinear Dynamics 9 3 1995 223 247
    • (1995) Nonlinear Dynamics , vol.9 , Issue.3 , pp. 223-247
    • Li, L.1
  • 13
    • 0041845048 scopus 로고    scopus 로고
    • A combined equivalent linearization and averaging perturbation method for nonlinear oscillator equations
    • R.E. Mickens A combined equivalent linearization and averaging perturbation method for nonlinear oscillator equations Journal of Sound and Vibration 264 2003 1195 1200
    • (2003) Journal of Sound and Vibration , vol.264 , pp. 1195-1200
    • Mickens, R.E.1
  • 15
    • 0028466109 scopus 로고
    • Averaging method using generalized harmonic functions for strongly nonlinear oscillators
    • Z. Xu, and Y.K. Cheung Averaging method using generalized harmonic functions for strongly nonlinear oscillators Journal of Sound and Vibration 174 4 1994 563 576
    • (1994) Journal of Sound and Vibration , vol.174 , Issue.4 , pp. 563-576
    • Xu, Z.1    Cheung, Y.K.2
  • 16
    • 0025747078 scopus 로고
    • On Duffing oscillators with slowly varying parameters
    • S.B. Yuste On Duffing oscillators with slowly varying parameters International Journal of Non-Linear Mechanism 26 5 1991 671 677
    • (1991) International Journal of Non-Linear Mechanism , vol.26 , Issue.5 , pp. 671-677
    • Yuste, S.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.