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Volumn 18, Issue 3, 2008, Pages 877-884

Hilbert's 16th problem for quadratic systems. New methods based on a transformation to the lienard equation

Author keywords

Cycles; Hilbert's 16th problem; Lienard equation; Quadratic system

Indexed keywords

BIFURCATION (MATHEMATICS);

EID: 45149094783     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408020732     Document Type: Article
Times cited : (14)

References (13)
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    • Blows, T.R.1    Perko, L.M.2
  • 5
    • 0001287885 scopus 로고
    • The relative position and the number of limit cycles of a quadratic differential systems
    • Chen, L. S. & Wang, M. S. [1979] "The relative position and the number of limit cycles of a quadratic differential systems," Acta Math. Sin. 22, 751-758.
    • (1979) Acta Math. Sin , vol.22 , pp. 751-758
    • Chen, L.S.1    Wang, M.S.2
  • 6
    • 0000832248 scopus 로고
    • Mathematical problems
    • Hilbert, D. [1902] "Mathematical problems," Bull. Amer. Math. Soc. 8, 437-479.
    • (1902) Bull. Amer. Math. Soc , vol.8 , pp. 437-479
    • Hilbert, D.1
  • 7
    • 0035997405 scopus 로고    scopus 로고
    • Centennial history of Hilbert's 16th problem
    • Ilyashenko, Yu. [2002] "Centennial history of Hilbert's 16th problem," Bull. AMS 39, 301-354.
    • (2002) Bull. AMS , vol.39 , pp. 301-354
    • Ilyashenko, Y.1
  • 9
    • 0006030294 scopus 로고    scopus 로고
    • Two-dimensional quadratic systems as a Lienard equation
    • Leonov, G. A. [1997] "Two-dimensional quadratic systems as a Lienard equation," Diff. Eqs. Dyn. Syst. 5, 289-297.
    • (1997) Diff. Eqs. Dyn. Syst , vol.5 , pp. 289-297
    • Leonov, G.A.1
  • 10
    • 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, 48-57.
    • (1998) Ukr. Math.J , vol.50 , pp. 48-57
    • Leonov, G.A.1
  • 11
    • 45149119238 scopus 로고    scopus 로고
    • Family of transversal curves for two-dimensional dynamical systems
    • St, Petersburg University
    • Leonov, G. A. [2006] "Family of transversal curves for two-dimensional dynamical systems," Vest nik St . Petersburg University 1, 48-78.
    • (2006) Vest nik , vol.1 , pp. 48-78
    • Leonov, G.A.1
  • 12
    • 0001059004 scopus 로고
    • Limit cycles of polynomial systems - some recent developments
    • Cambridge University Press, pp
    • Lloyd, N. G. [1988] "Limit cycles of polynomial systems - some recent developments," New Direction in Dynamical Systems (Cambridge University Press), pp. 192-234.
    • (1988) New Direction in Dynamical Systems , pp. 192-234
    • Lloyd, N.G.1
  • 13
    • 0001012446 scopus 로고
    • A concrete example of the existence of four limit cycles for plane quadratic systems
    • Shi, S. L. [1980] "A concrete example of the existence of four limit cycles for plane quadratic systems," Sci. Sin. 23, 153-158.
    • (1980) Sci. Sin , vol.23 , pp. 153-158
    • Shi, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.