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Volumn 20, Issue 8, 2010, Pages 2579-2584

Bifurcations of limit cycles and center problem for a class of cubic nilpotent system

Author keywords

Cubic nilpotent system; Lyapunov constant

Indexed keywords

BIFURCATION (MATHEMATICS);

EID: 78549239955     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127410027210     Document Type: Article
Times cited : (20)

References (11)
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  • 3
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    • Cenerating limits cycles from a nipotent critical point via normal forms
    • Álvarez, M. J. & Gasull, A. [2006] "Cenerating limits cycles from a nipotent critical point via normal forms", J. Math. Anal. Appl. 318, 271-287.
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  • 5
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    • Multiplicity of higher order singular point of differential autonomous system
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    • Liu, Y.1
  • 6
    • 77649094039 scopus 로고    scopus 로고
    • New study on the center problem and bifurcations of limit cycles for the Lyapunov system (I)
    • Liu, Y. R. & Li, J. B. [2009a] "New study on the center problem and bifurcations of limit cycles for the Lyapunov system (I)", Int. J. Bifurcation and Chaos 19, 3791-3801.
    • (2009) Int. J. Bifurcation and Chaos , vol.19 , pp. 3791-3801
    • Liu, Y.R.1    Li, J.B.2
  • 7
    • 73149086429 scopus 로고    scopus 로고
    • New study on the center problem and bifurcations of limit cycles for the Lyapunov system (II)
    • Liu, Y. R. & Li, J. B. [2009b] "New study on the center problem and bifurcations of limit cycles for the Lyapunov system (II)", Int. J. Bifurcation and Chaos 19, 3087-3099.
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    • Liu, Y.R.1    Li, J.B.2
  • 8
    • 78649332472 scopus 로고    scopus 로고
    • On the study of three-order nilpotent critical points: Integral factor method
    • submited
    • Liu, Y. R. & Li, J. B. [2009c] "On the study of three-order nilpotent critical points: Integral factor method", J. Diff. Eqs., submited.
    • (2009) J. Diff. Eqs.
    • Liu, Y.R.1    Li, J.B.2
  • 9
    • 0000974206 scopus 로고
    • Symétrie et forme normale des centres et foyers dégénérés
    • Moussu, R. [1982] "Symétrie et forme normale des centres et foyers dégénérés", Erg. Th. Dyn. Syst. 2, 241-251.
    • (1982) Erg. Th. Dyn. Syst. , vol.2 , pp. 241-251
    • Moussu, R.1
  • 10
    • 0036496857 scopus 로고    scopus 로고
    • The analytic normal for the nilpotent singularty
    • Strozyna, E. & Zoladek, H. [2002] "The analytic normal for the nilpotent singularty" J. Diff. Eqs. 179, 479-537.
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    • Strozyna, E.1    Zoladek, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.