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Volumn 45, Issue 3-4, 2006, Pages 227-235

A general solution of the duffing equation

Author keywords

Evolution equation; Fourier series; Jacobian elliptic functions; Nonlinear vibrations; Transient response

Indexed keywords

APPROXIMATION THEORY; DAMPING; FUNCTION EVALUATION; INTEGRATION; OPTIMIZATION; PROBLEM SOLVING;

EID: 33746189345     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-1858-z     Document Type: Article
Times cited : (21)

References (11)
  • 2
    • 26844458281 scopus 로고    scopus 로고
    • Application of Jacobian elliptic functions to the analysis of the steady-state solution of the damped Duffing equation with driving force of elliptic type
    • Elías-Zuñiga, A., 'Application of Jacobian elliptic functions to the analysis of the steady-state solution of the damped Duffing equation with driving force of elliptic type', Nonlinear Dynamics, 42, 2005, 175-184.
    • (2005) Nonlinear Dynamics , vol.42 , pp. 175-184
    • Elías-Zuñiga, A.1
  • 5
    • 2942571550 scopus 로고    scopus 로고
    • High order analysis of nonlinear periodic differential equations
    • Amore, P. and Montes-Lamas, H., 'High order analysis of nonlinear periodic differential equations', Phys. Lett. A 327, 2004, 158-166.
    • (2004) Phys. Lett. A , vol.327 , pp. 158-166
    • Amore, P.1    Montes-Lamas, H.2
  • 7
    • 0040859452 scopus 로고
    • An alternative analysis of Duffing's equation
    • McCartin, B. J., 'An alternative analysis of Duffing's equation', SIAM Review 34(3), 1992, 482-491.
    • (1992) SIAM Review , vol.34 , Issue.3 , pp. 482-491
    • McCartin, B.J.1
  • 8
    • 0031142354 scopus 로고    scopus 로고
    • A quantitative liability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity
    • Luo, A. C. J. and Han, R. P. S., 'A quantitative liability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity', Journal of the Franklin Institute 334B(3), 1997, 447-459.
    • (1997) Journal of the Franklin Institute , vol.334 B , Issue.3 , pp. 447-459
    • Luo, A.C.J.1    Han, R.P.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.