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Volumn 287, Issue 4-5, 2005, Pages 1045-1051

A generalized iteration procedure for calculating approximations to periodic solutions of "truly nonlinear oscillators"

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NONLINEAR SYSTEMS;

EID: 24344480923     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.03.005     Document Type: Article
Times cited : (80)

References (12)
  • 2
    • 0039423354 scopus 로고
    • Construction of approximate analytical solutions to a new class of non-linear oscillator equation
    • R.E. Mickens, and 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
  • 3
    • 0023648211 scopus 로고
    • Iteration procedure for determining approximate solutions to non-linear oscillator equations
    • R.E. Mickens Iteration procedure for determining approximate solutions to non-linear oscillator equations Journal of Sound and Vibration 116 1987 185 187
    • (1987) Journal of Sound and Vibration , vol.116 , pp. 185-187
    • Mickens, R.E.1
  • 4
    • 0027911989 scopus 로고
    • A perturbation technique that works even when the non-linearity is not small
    • M. Senator, and C.N. Bapat A perturbation technique that works even when the non-linearity is not small Journal of Sound and Vibration 164 1993 1 27
    • (1993) Journal of Sound and Vibration , vol.164 , pp. 1-27
    • Senator, M.1    Bapat, C.N.2
  • 5
    • 0039621601 scopus 로고    scopus 로고
    • Generalization of the Senator-Bapat method to systems having limit cycles
    • R.E. Mickens Generalization of the Senator-Bapat method to systems having limit cycles Journal of Sound and Vibration 224 1999 167 171
    • (1999) Journal of Sound and Vibration , vol.224 , pp. 167-171
    • Mickens, R.E.1
  • 6
    • 0037461472 scopus 로고    scopus 로고
    • Analysis of nonlinear oscillations having nonpolynomial elastic terms
    • R.E. Mickens Analysis of nonlinear oscillations having nonpolynomial elastic terms Journal of Sound and Vibration 255 2002 789 792
    • (2002) Journal of Sound and Vibration , vol.255 , pp. 789-792
    • Mickens, R.E.1
  • 7
    • 0041344539 scopus 로고    scopus 로고
    • Multiple scales via Galerkin projections: Approximate asymptotics for strongly nonlinear oscillations
    • S.L. Das, and A. Chatterjee Multiple scales via Galerkin projections: approximate asymptotics for strongly nonlinear oscillations Nonlinear Dynamics 32 2003 161 186
    • (2003) Nonlinear Dynamics , vol.32 , pp. 161-186
    • Das, S.L.1    Chatterjee, A.2
  • 8
    • 0141905286 scopus 로고    scopus 로고
    • Harmonic balance based averaging: Approximate realizations of an asymptotic technique
    • A. Chatterjee Harmonic balance based averaging: approximate realizations of an asymptotic technique Nonlinear Dynamics 32 2003 323 343
    • (2003) Nonlinear Dynamics , vol.32 , pp. 323-343
    • Chatterjee, A.1
  • 9
    • 0041845048 scopus 로고    scopus 로고
    • A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations
    • R.E. Mickens A combined equivalent linearization and averaging perturbation method for non-linear 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
  • 10
    • 0037058127 scopus 로고    scopus 로고
    • A modified Mickens procedure for certain non-linear oscillators
    • C.W. Lim, and B.S. Wu A modified Mickens procedure for certain non-linear oscillators Journal of Sound and Vibration 257 2002 202 206
    • (2002) Journal of Sound and Vibration , vol.257 , pp. 202-206
    • Lim, C.W.1    Wu, B.S.2
  • 11
    • 0035879170 scopus 로고    scopus 로고
    • Numerical investigation of the quasilinearization method in quantum mechanics
    • R. Krivec, et al., Numerical investigation of the quasilinearization method in quantum mechanics, Computer Physics Communications 138 (2001) 69-79.
    • (2001) Computer Physics Communications , vol.138 , pp. 69-79
    • Krivec, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.