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Volumn 21, Issue 2, 1996, Pages 245-252

The method of multiple scales: Asymptotic solutions and normal forms for nonlinear oscillatory problems

(1)  Sanchez, Nestor E a  

a NONE

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EID: 0030076412     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1996.0010     Document Type: Article
Times cited : (13)

References (15)
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    • Uniformly valid asymptotic approximations for certain nonlinear differential equations
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    • (1963) Nonlinear Differential Equations and Nonlinear Mechanics , pp. 113-120
    • Cole, J.D.1    Kevorkian, J.2
  • 2
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    • Theoria motus lunae, novo methodo
    • Brown, E.W. (1960). New York: Dover
    • Euler, L. (1772). Theoria motus lunae, novo methodo. In Brown, E.W. (1960). Lunar theory. New York: Dover.
    • (1772) Lunar Theory
    • Euler, L.1
  • 3
    • 33750037835 scopus 로고
    • On a new method in the theory of reversible process
    • Erieman, E.A. (1963). On a new method in the theory of reversible process. J. Math. Phys. 4, 410-418.
    • (1963) J. Math. Phys. , vol.4 , pp. 410-418
    • Erieman, E.A.1
  • 4
    • 0004205029 scopus 로고
    • The applications of methods of nonlinear mechanics to the theory of stationary oscillations
    • Kiev.
    • Krylov, N., Bogoliubov, N.N. (1934). The applications of methods of nonlinear mechanics to the theory of stationary oscillations. Publ. Ukranian Acad. Sci. 8. Kiev.
    • (1934) Publ. Ukranian Acad. Sci. , pp. 8
    • Krylov, N.1    Bogoliubov, N.N.2
  • 5
    • 0038364511 scopus 로고
    • Beitrag zur integration der differentialgleichugen der storungtheorie
    • Lindstedt, A. (1882). Beitrag zur integration der differentialgleichugen der storungtheorie. Abh. K. Akad. Wiss., 31 No. 4.
    • (1882) Abh. K. Akad. Wiss. , vol.31 , Issue.4
    • Lindstedt, A.1
  • 6
    • 0003110601 scopus 로고
    • Comparison of the modified method of averaging and the two variable expansion procedure
    • Morrison, J.A. (1966). Comparison of the modified method of averaging and the two variable expansion procedure. SIAM Rev. 8, 66-85.
    • (1966) SIAM Rev. , vol.8 , pp. 66-85
    • Morrison, J.A.1
  • 7
    • 0002295643 scopus 로고
    • An expansion method for treating nonlinear oscillation problems
    • Nayfeh, A.H. (1965). An expansion method for treating nonlinear oscillation problems. J. Math. Phys. 6, 1946-1951.
    • (1965) J. Math. Phys. , vol.6 , pp. 1946-1951
    • Nayfeh, A.H.1
  • 10
    • 0011496999 scopus 로고
    • Sur la méthode de M. Lindstedt
    • Poincaré, H. (1886). Sur la méthode de M. Lindstedt. Bull. Astron, 3, 57.
    • (1886) Bull. Astron , vol.3 , pp. 57
    • Poincaré, H.1
  • 11
    • 0025539076 scopus 로고
    • Prediction of bifurcations in a parametrically excited Duffing oscillator
    • Sanchez, N.E., and Nayfeh, A.H. (1990). Prediction of bifurcations in a parametrically excited Duffing oscillator. Int. J. Non-Linear Mechanics 25, 163-176.
    • (1990) Int. J. Non-linear Mechanics , vol.25 , pp. 163-176
    • Sanchez, N.E.1    Nayfeh, A.H.2
  • 12
    • 84974759634 scopus 로고
    • Stability and complicated rolling responses of ships in regular beam seas
    • Sanchez, N.E., and Nayfeh, A.H. (1990). Stability and complicated rolling responses of ships in regular beam seas Int. Shipbuild. Progr. 37, 177-198.
    • (1990) Int. Shipbuild. Progr. , vol.37 , pp. 177-198
    • Sanchez, N.E.1    Nayfeh, A.H.2
  • 13
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    • Nonlinear effects in electron plasma
    • Sturrock, P.A. (1957). Nonlinear effects in electron plasma. Proc. Roy. Soc. (london) A242, 277-299.
    • (1957) Proc. Roy. Soc. (London) , vol.A242 , pp. 277-299
    • Sturrock, P.A.1
  • 15
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    • Recherches sur le mouvement des petits planets
    • Zeipel, H. von. (1916). Recherches sur le mouvement des petits planets. Arch. Astron. Math. Phys. 11-13.
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    • Von Zeipel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.