On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields

  • R. Roussarie
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References

  1. [C] L. A. Cherkas:Structure of a successor function in the neighborhood of a separatrix of a perturbed analytic autonomous system in the Plane. Translated from Differentsial'nye Uravneniya, Vol. 17, no. 3, March, 1981 pp. 469–478.MathSciNetGoogle Scholar
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  5. [I] Ju. S. Il'Iasenko:Limit cycles of polynomial vector fields with non degenerate singular points on the real plane, Funk, Anal. Ego. Pri., 18, 3, (1984), 32–34 (Trans.) in: “Func. Anal. and Appl., 18, 3, (1985), 199–209.Google Scholar
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© Sociedade Brasileira de Matemática 1986

Authors and Affiliations

  • R. Roussarie
    • 1
  1. 1.Laboratoire de Topologie-UA 755 CNRSUniversité de BourgogneDijon CedexFrance

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