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Volumn 162, Issue 2, 2005, Pages 639-660

Computing the stability regions of Hill's equation

Author keywords

Hill's equation; Numerical methods; Stability regions

Indexed keywords

FUNCTIONS; OSCILLATIONS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; RESONANCE;

EID: 10444252614     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.01.002     Document Type: Article
Times cited : (13)

References (17)
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    • (1880) C.R. Acad. Sci. Paris , vol.91 , pp. 880-882
    • Floquet, G.1
  • 2
    • 0003001490 scopus 로고
    • Sur les equations differentielles lineaires a coeffcients periodiques
    • G. Floquet, Sur les equations differentielles lineaires a coeffcients periodiques, Ann. Sci. Ecole Norm. Sup. 12(1883) 47-88.
    • (1883) Ann. Sci. Ecole Norm. Sup. , vol.12 , pp. 47-88
    • Floquet, G.1
  • 3
    • 34250607598 scopus 로고
    • On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon
    • G.W. Hill, On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon, Acta Math. 8 (1886) 1-36.
    • (1886) Acta Math. , vol.8 , pp. 1-36
    • Hill, G.W.1
  • 6
    • 0023428688 scopus 로고
    • Asymptotic behavior of the stability regions for Hill's equation
    • M. Weinstein, J.B. Keller, Asymptotic behavior of the stability regions for Hill's equation, SIAM J. Appl. Math. 47 (1987) 941-958.
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 941-958
    • Weinstein, M.1    Keller, J.B.2
  • 7
    • 21844486186 scopus 로고
    • Geometrical aspects of stability theory for Hill's equations
    • H. Broer, M. Levi, Geometrical aspects of stability theory for Hill's equations, Arch. Ration. Mech. Anal. 131 (1995) 225-240.
    • (1995) Arch. Ration. Mech. Anal. , vol.131 , pp. 225-240
    • Broer, H.1    Levi, M.2
  • 8
    • 0032140745 scopus 로고    scopus 로고
    • Transition curves for the quasi-periodic Mathieu equation
    • R.S. Zounes, R.H. Rand, Transition curves for the quasi-periodic Mathieu equation, SIAM J. Appl.Math. 58 (4) (1998) 1094-1115.
    • (1998) SIAM J. Appl.Math. , vol.58 , Issue.4 , pp. 1094-1115
    • Zounes, R.S.1    Rand, R.H.2
  • 9
    • 0000413954 scopus 로고
    • Dynamic stability of a pendulum with a vibrating point of suspension
    • P.L. Kapitsa, D. ter Haar (Eds.), Pergamon, London
    • P.L. Kapitsa, Dynamic stability of a pendulum with a vibrating point of suspension, in: P.L. Kapitsa, D. ter Haar (Eds.), Collected Papers, vol. 2, Pergamon, London, 1965, pp. 714-725.
    • (1965) Collected Papers , vol.2 , pp. 714-725
    • Kapitsa, P.L.1
  • 12
    • 0000590201 scopus 로고
    • Über lineare homogene Differentialgleichungen zweiter Ordnung mit periodischen Koeffizienten
    • O. Haupt, Über lineare homogene Differentialgleichungen zweiter Ordnung mit periodischen Koeffizienten, Math Ann. Bd. 79 (1919).
    • (1919) Math Ann. Bd. , vol.79
    • Haupt, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.