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Volumn 253, Issue 2, 2001, Pages 671-690

Degenerate Hopf Bifurcations in Discontinuous Planar Systems

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EID: 18044373416     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7188     Document Type: Article
Times cited : (146)

References (16)
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    • Alwash, M.A.M.1    Lloyd, N.G.2
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    • On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type
    • Bautin N. N. On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type. Amer. Math. Soc. Transl. 100:1954;397-413.
    • (1954) Amer. Math. Soc. Transl. , vol.100 , pp. 397-413
    • Bautin, N.N.1
  • 5
    • 84976168837 scopus 로고
    • The number of limit cycles of certain polynomial differential equations
    • Blows T. R., Lloyd N. G. The number of limit cycles of certain polynomial differential equations. Proc. Roy. Soc. Edinburgh Sect. A. 98:1984;215-239.
    • (1984) Proc. Roy. Soc. Edinburgh Sect. A , vol.98 , pp. 215-239
    • Blows, T.R.1    Lloyd, N.G.2
  • 8
    • 0031509821 scopus 로고    scopus 로고
    • Differential equations defined by the sum of two quasi-homogeneous vector fields
    • Coll B., Gasull A., Prohens R. Differential equations defined by the sum of two quasi-homogeneous vector fields. Canad. J. Math. 49:1997;212-231.
    • (1997) Canad. J. Math. , vol.49 , pp. 212-231
    • Coll, B.1    Gasull, A.2    Prohens, R.3
  • 9
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    • 0031172970 scopus 로고    scopus 로고
    • An explicit expression of the first Liapunov and period constants with applications
    • Gasull A., Guillamon A., Mañosa V. An explicit expression of the first Liapunov and period constants with applications. J. Math. Anal. Appl. 211:1997;190-212.
    • (1997) J. Math. Anal. Appl. , vol.211 , pp. 190-212
    • Gasull, A.1    Guillamon, A.2    Mañosa, V.3
  • 12
    • 0000763299 scopus 로고    scopus 로고
    • Effective computation of the first Lyapunov quantities for a planar differential equation
    • Gasull A., Prohens R. Effective computation of the first Lyapunov quantities for a planar differential equation. Appl. Math. (Warsaw). 24:1997;243-250.
    • (1997) Appl. Math. (Warsaw) , vol.24 , pp. 243-250
    • Gasull, A.1    Prohens, R.2
  • 13
    • 0018530408 scopus 로고
    • Ljapunov approach to multiple Hopf bifurcation
    • Göbber F., Williamowski K.-D. Ljapunov approach to multiple Hopf bifurcation. J. Math. Anal. Appl. 71:1979;333-350.
    • (1979) J. Math. Anal. Appl. , vol.71 , pp. 333-350
    • Göbber, F.1    Williamowski, K.-D.2
  • 14
    • 0000252593 scopus 로고
    • Bifurcation formulae derived from center manifold theory
    • Hassard B., Wan Y. H. Bifurcation formulae derived from center manifold theory. J. Math. Anal. Appl. 63:1978;297-312.
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    • Hassard, B.1    Wan, Y.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.