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Volumn 61, Issue 8, 2011, Pages 1987-1990

He's frequency formulation for nonlinear oscillators using a golden mean location

Author keywords

Accuracy; Ancient Chinese mathematical method; He's frequency formulation; Nonlinear oscillator; Phase of residuals

Indexed keywords

ACCURACY; HE'S FREQUENCY FORMULATION; MATHEMATICAL METHOD; NON-LINEAR OSCILLATORS; PHASE OF RESIDUALS;

EID: 79953750265     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.08.047     Document Type: Article
Times cited : (20)

References (22)
  • 1
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • J.H. He Some asymptotic methods for strongly nonlinear equations Internat. J. Modern Phys. B 20 2006 1141 1199
    • (2006) Internat. J. Modern Phys. B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 2
    • 46749142553 scopus 로고    scopus 로고
    • Comment on 'He's frequency formulation for nonlinear oscillators'
    • J.H. He Comment on 'He's frequency formulation for nonlinear oscillators' European J. Phys. 29 4 2008 L19 L22
    • (2008) European J. Phys. , vol.29 , Issue.4
    • He, J.H.1
  • 3
    • 47049083693 scopus 로고    scopus 로고
    • An improved amplitudefrequency formulation for nonlinear oscillators
    • J.H. He An improved amplitudefrequency formulation for nonlinear oscillators Int. J. Nonlinear Sci. Numer. Simul. 9 2008 211 212
    • (2008) Int. J. Nonlinear Sci. Numer. Simul. , vol.9 , pp. 211-212
    • He, J.H.1
  • 4
    • 50949112266 scopus 로고    scopus 로고
    • An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
    • J.H. He An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering Internat. J. Modern Phys. B 22 2008 3487 3578
    • (2008) Internat. J. Modern Phys. B , vol.22 , pp. 3487-3578
    • He, J.H.1
  • 5
    • 70350567172 scopus 로고    scopus 로고
    • He's frequency formulation for the relativistic harmonic oscillator
    • X.C. Cai, and W.Y. Wu He's frequency formulation for the relativistic harmonic oscillator Comput. Math. Appl. 58 2009 2358 2359
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2358-2359
    • Cai, X.C.1    Wu, W.Y.2
  • 6
    • 70350566066 scopus 로고    scopus 로고
    • Application of He's amplitudefrequency formulation to a nonlinear oscillator with discontinuity
    • H.L. Zhang Application of He's amplitudefrequency formulation to a nonlinear oscillator with discontinuity Comput. Math. Appl. 58 2009 2197 2198
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2197-2198
    • Zhang, H.L.1
  • 7
    • 70350571724 scopus 로고    scopus 로고
    • Exact solution for nonlinear Schrodinger equation by He's frequency formulation
    • Y.N. Zhang, F. Xu, and L.L. Deng Exact solution for nonlinear Schrodinger equation by He's frequency formulation Comput. Math. Appl. 58 2009 2449 2451
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2449-2451
    • Zhang, Y.N.1    Xu, F.2    Deng, L.L.3
  • 8
    • 70350564877 scopus 로고    scopus 로고
    • He's frequencyamplitude formulation for the Duffing harmonic oscillator
    • J. Fan He's frequencyamplitude formulation for the Duffing harmonic oscillator Comput. Math. Appl. 58 2009 2473 2476
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2473-2476
    • Fan, J.1
  • 9
    • 70350573456 scopus 로고    scopus 로고
    • He's frequencyamplitude formulation for nonlinear oscillators with an irrational force
    • L. Zhao He's frequencyamplitude formulation for nonlinear oscillators with an irrational force Comput. Math. Appl. 58 2009 2477 2479
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2477-2479
    • Zhao, L.1
  • 10
    • 70450195136 scopus 로고    scopus 로고
    • Application of He's amplitudefrequency formulation to nonlinear oscillators with discontinuities
    • Z.F. Ren, G.Q. Liu, and Y.X. Kang Application of He's amplitudefrequency formulation to nonlinear oscillators with discontinuities Phys. Scr. 80 2009 045003
    • (2009) Phys. Scr. , vol.80 , pp. 045003
    • Ren, Z.F.1    Liu, G.Q.2    Kang, Y.X.3
  • 11
    • 47049099601 scopus 로고    scopus 로고
    • Maxmin approach to nonlinear oscillators
    • J.H. He Maxmin approach to nonlinear oscillators Int. J. Nonlinear Sci. Numer. Simul. 9 2008 207 210
    • (2008) Int. J. Nonlinear Sci. Numer. Simul. , vol.9 , pp. 207-210
    • He, J.H.1
  • 12
    • 78649517104 scopus 로고    scopus 로고
    • Application of He's maxmin approach to a generalized nonlinear discontinuity equation
    • S.A. Demirbag, and M.O. Kaya Application of He's maxmin approach to a generalized nonlinear discontinuity equation Int. J. Nonlinear Sci. Numer. Simul. 11 2010 269 272
    • (2010) Int. J. Nonlinear Sci. Numer. Simul. , vol.11 , pp. 269-272
    • Demirbag, S.A.1    Kaya, M.O.2
  • 13
    • 74549167313 scopus 로고    scopus 로고
    • Analysis of strongly nonlinear oscillator using the maxmin approach
    • D.Q. Zeng, and Y.Y. Lee Analysis of strongly nonlinear oscillator using the maxmin approach Int. J. Nonlinear Sci. Numer. Simul. 10 2009 1361 1368
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , pp. 1361-1368
    • Zeng, D.Q.1    Lee, Y.Y.2
  • 14
    • 65349107977 scopus 로고    scopus 로고
    • Ancient Chinese musical scales: Best approximations, but why?
    • T. Zhong Ancient Chinese musical scales: best approximations, but why? Int. J. Nonlinear Sci. Numer. Simul. 10 2009 161 166
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , pp. 161-166
    • Zhong, T.1
  • 15
    • 65349178898 scopus 로고    scopus 로고
    • Continued fraction method for an ancient Chinese musical equation
    • J.C. Lan, and Z. Yang Continued fraction method for an ancient Chinese musical equation Int. J. Nonlinear Sci. Numer. Simul. 10 2009 167 169
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , pp. 167-169
    • Lan, J.C.1    Yang, Z.2
  • 16
    • 70350564263 scopus 로고    scopus 로고
    • Periodic solutions for some strongly nonlinear oscillations by He's energy balance method
    • H.L. Zhang Periodic solutions for some strongly nonlinear oscillations by He's energy balance method Comput. Math. Appl. 58 2009 2480 2485
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2480-2485
    • Zhang, H.L.1
  • 17
    • 65349088127 scopus 로고    scopus 로고
    • Application of He's energy balance method to a nonlinear oscillator with discontinuity
    • H.L. Zhang, Y.G. Xu, and J.R. Chang Application of He's energy balance method to a nonlinear oscillator with discontinuity Int. J. Nonlinear Sci. Numer. Simul. 10 2009 207 214
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , pp. 207-214
    • Zhang, H.L.1    Xu, Y.G.2    Chang, J.R.3
  • 20
    • 65349147580 scopus 로고    scopus 로고
    • Applications of He's homotopy perturbation method to obtain second-order approximations of the coupled two-degree-of-freedom systems
    • S.S. Ganji, D.D. Ganji, and S. Karimpour Applications of He's homotopy perturbation method to obtain second-order approximations of the coupled two-degree-of-freedom systems Int. J. Nonlinear Sci. Numer. Simul. 10 2009 305 314
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , pp. 305-314
    • Ganji, S.S.1    Ganji, D.D.2    Karimpour, S.3
  • 21
    • 36048969106 scopus 로고    scopus 로고
    • He's frequency formulation for nonlinear oscillators
    • DOI 10.1088/0143-0807/28/5/016, PII S0143080707474669
    • L. Geng, and X.C. Cai He's frequency formulation for nonlinear oscillators European J. Phys. 28 2007 923 931 (Pubitemid 350092681)
    • (2007) European Journal of Physics , vol.28 , Issue.5 , pp. 923-931
    • Geng, L.1    Cai, X.-C.2


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