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Volumn 29, Issue 4, 2008, Pages

Comment on 'He's frequency formulation for nonlinear oscillators'

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY-AMPLITUDE FORMULATIONS; LOCATION CHOICE; LOCATION POINTS; METHOD OF WEIGHTED RESIDUAL; NON-LINEAR OSCILLATORS;

EID: 46749142553     PISSN: 01430807     EISSN: 13616404     Source Type: Journal    
DOI: 10.1088/0143-0807/29/4/L02     Document Type: Article
Times cited : (105)

References (21)
  • 1
    • 36048969106 scopus 로고    scopus 로고
    • He's frequency formulation for nonlinear oscillators
    • Geng L and Cai X C 2007 He's frequency formulation for nonlinear oscillators Eur. J. Phys. 28 923-31
    • (2007) Eur. J. Phys. , vol.28 , Issue.5 , pp. 923-931
    • Geng, L.1    Cai, X.C.2
  • 2
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J H 2006 Some asymptotic methods for strongly nonlinear equations Int. J. Mod. Phys. B 20 1141-99
    • (2006) Int. J. Mod. Phys. , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 4
    • 0036977163 scopus 로고    scopus 로고
    • Ancient Chinese algorithm: The Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method
    • He J H 2002 Ancient Chinese algorithm: the Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method Appl. Math. Mech. 23 1407-12 (Engl. edn)
    • (2002) Appl. Math. Mech. , vol.23 , Issue.12 , pp. 1407-1412
    • He, J.H.1
  • 5
    • 1242309941 scopus 로고    scopus 로고
    • Solution of nonlinear equations by an ancient Chinese algorithm
    • He J H 2004 Solution of nonlinear equations by an ancient Chinese algorithm Appl. Math. Comput. 151 293-7
    • (2004) Appl. Math. Comput. , vol.151 , Issue.1 , pp. 293-297
    • He, J.H.1
  • 6
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of non-linear analytical technique: Some examples
    • He J H 1999 Variational iteration method-a kind of non-linear analytical technique: Some examples Int. J. Nonlinear Mech. 34 699-708
    • (1999) Int. J. Nonlinear Mech. , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 7
    • 34548562006 scopus 로고    scopus 로고
    • He's variational iteration method for solving hyperbolic differential equations
    • Biazar J and Ghazvini H 2007 He's variational iteration method for solving hyperbolic differential equations Int. J. Nonlinear Sci. 8 311-4
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 311-314
    • Biazar, J.1    Ghazvini, H.2
  • 8
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He J H 2000 A coupling method of a homotopy technique and a perturbation technique for non-linear problems Int. J. Nonlinear Mech. 35 37-43
    • (2000) Int. J. Nonlinear Mech. , vol.35 , Issue.1 , pp. 37-43
    • He, J.H.1
  • 9
    • 32644482553 scopus 로고    scopus 로고
    • Approximate period solution for a kind of nonlinear oscillator by He's perturbation method
    • Cai X C, Wu W Y and Li M S 2006 Approximate period solution for a kind of nonlinear oscillator by He's perturbation method Int. J. Nonlinear Sci. 7 109-12
    • (2006) Int. J. Nonlinear Sci. , vol.7 , pp. 109-112
    • Cai, X.C.1    Wu, W.Y.2    Li, M.S.3
  • 10
    • 34548570369 scopus 로고    scopus 로고
    • Solution of the generalized nonlinear Boussinesq equation using homotopy perturbation and variational iteration methods
    • Sadighi A and Ganji D D 2007 Solution of the generalized nonlinear Boussinesq equation using homotopy perturbation and variational iteration methods Int. J. Nonlinear Sci. 8 435-44
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 435-444
    • Sadighi, A.1    Ganji, D.D.2
  • 11
  • 12
    • 34548572326 scopus 로고    scopus 로고
    • Homotopy perturbation method for systems of partial differential equations
    • Biazar J, Eslami M and Ghazvini H 2007 Homotopy perturbation method for systems of partial differential equations Int. J. Nonlinear Sci. 8 413-8
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 413-418
    • Biazar, J.1    Eslami, M.2    Ghazvini, H.3
  • 14
    • 34249884541 scopus 로고    scopus 로고
    • A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities
    • zi T and Yildirim A 2007 A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities Int. J. Nonlinear Sci. 8 243-8
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 243-248
    • Zi, T.1    Yildirim, A.2
  • 15
    • 34548588705 scopus 로고    scopus 로고
    • An improved 'heuristic' approximation for the period of a nonlinear pendulum: Linear analysis of a classical nonlinear problem
    • Beléndez A, Hernndez T, Beléndez T, Mrquez A and Neipp C 2007 An improved 'heuristic' approximation for the period of a nonlinear pendulum: linear analysis of a classical nonlinear problem Int. J. Nonlinear Sci. 8 329-34
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 329-334
    • Beléndez, A.1    Hernndez, T.2    Beléndez, T.3    Mrquez, A.4    Neipp, C.5
  • 16
    • 35748957246 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to the relativistic (an)harmonic oscillator: I. Comparison between approximate and exact frequencies
    • Beléndez A, Pascual C, Mrquez A and Méndez D I 2007 Application of He's homotopy perturbation method to the relativistic (an)harmonic oscillator: I. Comparison between approximate and exact frequencies Int. J. Nonlinear Sci. 8 483-92
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 483-492
    • Beléndez, A.1    Pascual, C.2    Mrquez, A.3    Méndez, D.I.4
  • 17
    • 35748951994 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to the relativistic (an) harmonic oscillator: II. A more accurate approximate solution
    • Beléndez A, Pascual C, Méndez D I, lvarez M L and Neipp C 2007 Application of He's homotopy perturbation method to the relativistic (an) harmonic oscillator: II. A more accurate approximate solution Int. J. Nonlinear Sci. 8 493-504
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 493-504
    • Beléndez, A.1    Pascual, C.2    Méndez, D.I.3    Lvarez, M.L.4    Neipp, C.5
  • 18
    • 34249996463 scopus 로고    scopus 로고
    • Application of parameter-expanding method to strongly nonlinear oscillators
    • Shou D H and He J H 2007 Application of parameter-expanding method to strongly nonlinear oscillators Int. J. Nonlinear Sci. 8 121-4
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 121-124
    • Shou, D.H.1    He, J.H.2
  • 19
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method for nonlinear wave equations
    • He J H and Wu X H 2006 Exp-function method for nonlinear wave equations Chaos Solitons Fractals 30 700-8
    • (2006) Chaos Solitons Fractals , vol.30 , Issue.3 , pp. 700-708
    • He, J.H.1    Wu, X.H.2
  • 20
    • 34548577315 scopus 로고    scopus 로고
    • Exp-function method for the hybrid-lattice system
    • Zhu S-D 2007 Exp-function method for the hybrid-lattice system Int. J Nonlinear Sci. 8 461-4
    • (2007) Int. J Nonlinear Sci. , vol.8 , pp. 461-464
    • Zhu, S.-D.1
  • 21
    • 34548577316 scopus 로고    scopus 로고
    • Exp-function method for the discrete mKdV lattice
    • Zhu S-D 2007 Exp-function method for the discrete mKdV lattice Int. J. Nonlinear Sci. 8 465-8
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 465-468
    • Zhu, S.-D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.