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Volumn 86, Issue 2-3, 1997, Pages 261-282

A fast galerkin method to obtain the periodic solutions of a nonlinear oscillator

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EID: 23644462855     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00193-2     Document Type: Article
Times cited : (7)

References (25)
  • 2
    • 0009386372 scopus 로고
    • Resonance and symmetry breaking for a Duffing oscillator
    • J. Miles, Resonance and symmetry breaking for a Duffing oscillator, SIAM J. Appl. Math., 49, 3: 968-981 (1989).
    • (1989) SIAM J. Appl. Math. , vol.49 , Issue.3 , pp. 968-981
    • Miles, J.1
  • 4
    • 0001068498 scopus 로고
    • Galerkin's procedure for nonlinear periodic systems
    • M. Urabe, Galerkin's procedure for nonlinear periodic systems, Archive for Rational Mechanics and Analysis, 20:120-152 (1965).
    • (1965) Archive for Rational Mechanics and Analysis , vol.20 , pp. 120-152
    • Urabe, M.1
  • 5
    • 0000106486 scopus 로고
    • Numerical computation of nonlinear forced oscillations by Galerkin procedure
    • M. Urabe and A. Reiter, Numerical computation of nonlinear forced oscillations by Galerkin procedure, J. Math. Analysis Appl., 14:107 (1966).
    • (1966) J. Math. Analysis Appl. , vol.14 , pp. 107
    • Urabe, M.1    Reiter, A.2
  • 6
    • 0023647782 scopus 로고
    • A generalized Galerkin's method for non-linear oscillators
    • G. Chen, A generalized Galerkin's method for non-linear oscillators, J. Sound Vib., 112:503-511 (1987).
    • (1987) J. Sound Vib. , vol.112 , pp. 503-511
    • Chen, G.1
  • 7
    • 0024620165 scopus 로고
    • An alternating frequency/time domain method for calculating the steady-state response of nonlinear dynamical systems
    • T. M. Cameron and J. H. Griffin, An alternating frequency/time domain method for calculating the steady-state response of nonlinear dynamical systems, J. Appl. Mech., 56:149-154 (1989).
    • (1989) J. Appl. Mech. , vol.56 , pp. 149-154
    • Cameron, T.M.1    Griffin, J.H.2
  • 13
    • 0001991757 scopus 로고
    • Homoclinic orbits, subharmonics and global bifurcation in forced oscillators
    • G. Iooss, G. Barenblatt, and D. D. Joseph, eds., Pitman
    • B. D. Greenspan and P. J. Holmes, Homoclinic orbits, subharmonics and global bifurcation in forced oscillators. In: Nonlinear Dynamics and Turbulence, G. Iooss, G. Barenblatt, and D. D. Joseph, eds., Pitman, (1982).
    • (1982) Nonlinear Dynamics and Turbulence
    • Greenspan, B.D.1    Holmes, P.J.2
  • 14
    • 0002546867 scopus 로고
    • Repeated resonance and homoclinic orbits in a periodically forced family of oscillators
    • B. D. Greenspan and P. J. Holmes, Repeated resonance and homoclinic orbits in a periodically forced family of oscillators, SIAM J. Math. Anal. 15:69-97 (1984).
    • (1984) SIAM J. Math. Anal. , vol.15 , pp. 69-97
    • Greenspan, B.D.1    Holmes, P.J.2
  • 15
    • 0012280874 scopus 로고
    • On the methods of Galerkin, Ritz and Krylov-bogoliubov in the theory of nonlinear vibrations
    • D. E. Newland, On the methods of Galerkin, Ritz and Krylov-Bogoliubov in the theory of nonlinear vibrations, International Journal of Mechanical Science, 7:159-172 (1965).
    • (1965) International Journal of Mechanical Science , vol.7 , pp. 159-172
    • Newland, D.E.1
  • 18
    • 0022768513 scopus 로고
    • Numerical solution of constrained nonlinear algebraic equations
    • M. Shacham, Numerical solution of constrained nonlinear algebraic equations, Int. J. Numerical Methods Eng., 23:1455-1481 (1986).
    • (1986) Int. J. Numerical Methods Eng. , vol.23 , pp. 1455-1481
    • Shacham, M.1
  • 19
    • 0021819254 scopus 로고
    • Comparing software for the solution of systems of nonlinear equations arising in chemical engineering
    • M. Shacham, Comparing software for the solution of systems of nonlinear equations arising in chemical engineering, Comput. Chem. Eng., 9:103-112 (1985).
    • (1985) Comput. Chem. Eng. , vol.9 , pp. 103-112
    • Shacham, M.1
  • 21
    • 0000169232 scopus 로고
    • An algorithm for least square estimation of nonlinear parameters
    • D. W. Marquardt, An algorithm for least square estimation of nonlinear parameters, J. SIAM, 11:431-441 (1986).
    • (1986) J. SIAM , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 22
    • 0001362410 scopus 로고
    • The Levenberg-marquardt algorithm implementation and theory
    • A. Pold and B. Eckman, eds., Springer-Verlag
    • J. J. More, The Levenberg-Marquardt algorithm implementation and theory. In: Lecture Notes in Mathematics, 630 (A. Pold and B. Eckman, eds.), Springer-Verlag, 1978.
    • (1978) Lecture Notes in Mathematics , vol.630
    • More, J.J.1
  • 25
    • 23644440862 scopus 로고
    • Ph. D. Thesis, Univ Politécnica de Valencia
    • P. J. Jiménez Olivo, Ph. D. Thesis, Univ Politécnica de Valencia, 1992.
    • (1992)
    • Jiménez Olivo, P.J.1


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