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Volumn 3, Issue PART 1, 2007, Pages 87-89

Computation of the first Lyapunov quantity for the second-order dynamical system

Author keywords

Lyapunov quantities; Polynomial system; Small amplitude limit cycle

Indexed keywords

LIMIT-CYCLE; POLYNOMIAL SYSTEMS; SECOND-ORDER DYNAMICAL SYSTEMS;

EID: 79960990947     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20070829-3-ru-4912.00014     Document Type: Conference Paper
Times cited : (10)

References (15)
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    • N. Bautin [1962] "On the number of limit cycles which appear with the variation of the coefficients from an equilibrium point of focus or center type" Mat. Sbornik, 30(72) 181-196
    • (1962) Mat. Sbornik , vol.30 , Issue.72 , pp. 181-196
    • Bautin, N.1
  • 2
    • 79961008106 scopus 로고    scopus 로고
    • English translation
    • English translation in Amer. Math. Soc. Trans. 5, 396-414.
    • Amer. Math. Soc. Trans. , vol.5 , pp. 396-414
  • 6
    • 45149135423 scopus 로고    scopus 로고
    • The problem of estimation of the number of cycles of two-dimensional quadratic systems from nonlinear mechanics point of view
    • Leonov, G.A. [1998] "The problem of estimation of the number of cycles of two-dimensional quadratic systems from nonlinear mechanics point of view" Ukr. Math. J., 50, N 1, 48-57.
    • (1998) Ukr. Math. J. , vol.50 , Issue.1 , pp. 48-57
    • Leonov, G.A.1
  • 9
    • 0001413231 scopus 로고
    • REDUCE and the bifurcation of limit cycles
    • Lloyd N.G., & Pearson J. [1990] "REDUCE and the bifurcation of limit cycles" Journal of Symbolic Computation Vol. 9, Is. 2, 215-224
    • (1990) Journal of Symbolic Computation , vol.9 , Issue.2 , pp. 215-224
    • Lloyd, N.G.1    Pearson, J.2
  • 12
    • 77951906336 scopus 로고    scopus 로고
    • Symbolic computation of Lyapunov quantities and the second part of Hilbert's sixteenth problem
    • Wang, Dongming; Zheng, Zhiming (Eds.), Series: Trends in Mathematics, 2005 ISBN: 3- 7643-7368-7
    • Lynch, S. [2005] "Symbolic computation of Lyapunov quantities and the second part of Hilbert's sixteenth problem" Differential Equations with Symbolic Computations, Wang, Dongming; Zheng, Zhiming (Eds.), Series: Trends in Mathematics, 1-26 (2005). ISBN: 3- 7643-7368-7
    • (2005) Differential Equations with Symbolic Computations , pp. 1-26
    • Lynch, S.1
  • 15
    • 0001790023 scopus 로고    scopus 로고
    • Computation of normal forms via a perturbation technique
    • Yu, P. [1998] "Computation of normal forms via a perturbation technique," J. Sound Vibr. 211, 19-38. (Pubitemid 128379435)
    • (1998) Journal of Sound and Vibration , vol.211 , Issue.1 , pp. 19-38
    • Yu, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.