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Volumn 318, Issue 4-5, 2008, Pages 1281-1290

An artificial parameter Linstedt-Poincaré method for the periodic solutions of nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHODS;

EID: 55349110647     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2008.05.004     Document Type: Article
Times cited : (11)

References (29)
  • 2
    • 0034447514 scopus 로고    scopus 로고
    • A modified perturbation technique depending upon an artificial parameter
    • Ji-H. He, A modified perturbation technique depending upon an artificial parameter, Meccanica 35 (2000) 299-311.
    • (2000) Meccanica , vol.35 , pp. 299-311
    • Ji-H1    He2
  • 4
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • Ji-H. He, Some asymptotic methods for strongly nonlinear equations, International Journal of Modern Physics 20 (2006) 1141-1199.
    • (2006) International Journal of Modern Physics , vol.20 , pp. 1141-1199
    • Ji-H1    He2
  • 5
    • 33748922411 scopus 로고    scopus 로고
    • Non-Perturbative Methods for Strongly Nonlinear Problems
    • Dissertation, de-Verlag im Internet GmbH
    • Ji-H. He, Non-Perturbative Methods for Strongly Nonlinear Problems, Dissertation, de-Verlag im Internet GmbH, 2006.
    • (2006)
    • Ji-H1    He2
  • 6
    • 33746584753 scopus 로고    scopus 로고
    • Addendum, New interpretation of homotopy perturbation method
    • Ji-H. He, Addendum, New interpretation of homotopy perturbation method, International Journal of Modern Physics 20 (2006) 2561-2568.
    • (2006) International Journal of Modern Physics , vol.20 , pp. 2561-2568
    • Ji-H1    He2
  • 8
    • 0027911989 scopus 로고
    • A perturbation technique that works even when the non-linearity is not small
    • M. Senator, 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
  • 9
    • 20444380770 scopus 로고    scopus 로고
    • A generalization of the Senator-Bapat method for certain strongly nonlinear oscillators
    • B.S. Wu, C.W. Lim, P.S. Li, A generalization of the Senator-Bapat method for certain strongly nonlinear oscillators, Physics Letters A 341 (2005) 164-169.
    • (2005) Physics Letters A , vol.341 , pp. 164-169
    • Wu, B.S.1    Lim, C.W.2    Li, P.S.3
  • 10
    • 0036489498 scopus 로고    scopus 로고
    • Modified Linstedt-Poincare methods for some non-linear oscillations. Part I: Expansion of constant
    • J.-H. He, Modified Linstedt-Poincare methods for some non-linear oscillations. Part I: expansion of constant, Journal of Non-linear Mechanics 37 (2002) 309-314.
    • (2002) Journal of Non-linear Mechanics , vol.37 , pp. 309-314
    • He, J.-H.1
  • 12
    • 0003053851 scopus 로고    scopus 로고
    • Some new approaches to Duffing equation with strongly and high order nonlinearity (II) Parametrized perturbation technique
    • Ji.-H. He, Some new approaches to Duffing equation with strongly and high order nonlinearity (II) Parametrized perturbation technique, Communications in Nonlinear Sciences and Numerical Simulations 4 (1999) 81-83.
    • (1999) Communications in Nonlinear Sciences and Numerical Simulations , vol.4 , pp. 81-83
    • He, J.H.1
  • 13
    • 33745852188 scopus 로고    scopus 로고
    • Homotopy-perturbation method for pure nonlinear differential equation
    • L. Cveticanin, Homotopy-perturbation method for pure nonlinear differential equation, Chaos, Solitons and Fractals 30 (2006) 1221-1230.
    • (2006) Chaos, Solitons and Fractals , vol.30 , pp. 1221-1230
    • Cveticanin, L.1
  • 14
    • 15944389556 scopus 로고    scopus 로고
    • Improved Linstedt-Poincaré method for the solution of nonlinear problems
    • P. Amore, A. Aranda, Improved Linstedt-Poincaré method for the solution of nonlinear problems, Journal of Sound and Vibration 283 (2005) 1115-1136.
    • (2005) Journal of Sound and Vibration , vol.283 , pp. 1115-1136
    • Amore, P.1    Aranda, A.2
  • 15
    • 33751567742 scopus 로고    scopus 로고
    • Development of accurate solutions for a classical oscillator
    • P. Amore, N.B. Sanchez, Development of accurate solutions for a classical oscillator, Journal of Sound and Vibration 283 (2007) 345-351.
    • (2007) Journal of Sound and Vibration , vol.283 , pp. 345-351
    • Amore, P.1    Sanchez, N.B.2
  • 16
    • 19444376778 scopus 로고    scopus 로고
    • Comparison of alternative improved perturbative methods for nonlinear oscillations
    • P. Amore, A. Raya, P.M. Fernández, Comparison of alternative improved perturbative methods for nonlinear oscillations, Physics Letters A 340 (2005) 201-208.
    • (2005) Physics Letters A , vol.340 , pp. 201-208
    • Amore, P.1    Raya, A.2    Fernández, P.M.3
  • 17
    • 43049085115 scopus 로고    scopus 로고
    • Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
    • in press
    • A. Beléndez, D.I. Méndez, T. Beléndez, A. Hernândez, M.L. Álvarez, Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable, Journal of Sound and Vibration, (2008), in press.
    • (2008) Journal of Sound and Vibration
    • Beléndez, A.1    Méndez, D.I.2    Beléndez, T.3    Hernândez, A.4    Álvarez, M.L.5
  • 19
    • 84953751498 scopus 로고    scopus 로고
    • third ed, combined, Cambridge University Press, Cambridge, UK
    • A. Zygmund, Trigonometric Series, third ed., Vol. I and II combined, Cambridge University Press, Cambridge, UK, 2002.
    • (2002) Trigonometric Series , vol.I and II
    • Zygmund, A.1
  • 20
    • 0003967444 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • T.W. Körner, Fourier Analysis, Cambridge University Press, Cambridge, UK, 2002.
    • (2002) Fourier Analysis
    • Körner, T.W.1
  • 23
    • 85030585795 scopus 로고    scopus 로고
    • The Fourier series of the secant function, paper presented at the - MAA (Mathematical Association of America)
    • Portland State University, Portland, Washington, USA, 22 June
    • W.C. Lang, The Fourier series of the secant function, paper presented at the - MAA (Mathematical Association of America), Pacific Northwest Section Meeting, Portland State University, Portland, Washington, USA, 22 June 2002.
    • (2002) Pacific Northwest Section Meeting
    • Lang, W.C.1
  • 26
    • 34548299757 scopus 로고    scopus 로고
    • An artificial parameter-decomposition method for nonlinear oscillators: Applications to oscillators with odd nonlinearities
    • J.I. Ramos, An artificial parameter-decomposition method for nonlinear oscillators: applications to oscillators with odd nonlinearities, Journal of Sound and Vibration 307 (2007) 312-329.
    • (2007) Journal of Sound and Vibration , vol.307 , pp. 312-329
    • Ramos, J.I.1
  • 27
    • 0038294438 scopus 로고    scopus 로고
    • A new analytical approach to the Duffing-harmonic oscillator
    • C.W. Lim, B.S. Wu, A new analytical approach to the Duffing-harmonic oscillator, Physics Letters A 311 (2003) 365-373.
    • (2003) Physics Letters A , vol.311 , pp. 365-373
    • Lim, C.W.1    Wu, B.S.2
  • 28
    • 0141882931 scopus 로고    scopus 로고
    • Large amplitude nonlinear oscillations of a general conservative system
    • B.S. Wu, C.W. Lim, Large amplitude nonlinear oscillations of a general conservative system, International Journal of Non-Linear Mechanics 39 (2004) 859-870.
    • (2004) International Journal of Non-Linear Mechanics , vol.39 , pp. 859-870
    • Wu, B.S.1    Lim, C.W.2
  • 29
    • 33745979117 scopus 로고    scopus 로고
    • Higher accuracy analytical approximations to the Duffing oscillator
    • C.W. Lim, B.S. Wu, W.P. Sun, Higher accuracy analytical approximations to the Duffing oscillator, Journal of Sound and Vibration 296 (2006) 1039-1045.
    • (2006) Journal of Sound and Vibration , vol.296 , pp. 1039-1045
    • Lim, C.W.1    Wu, B.S.2    Sun, W.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.