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A note on finite cyclicity property and Hilbert's 16th. Problem

  • R. Roussarie
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1331)

Keywords

Periodic Orbit Singular Point Cusp Point Elliptic Point Hyperbolic Saddle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    N. Bautin., On the number of limit cycles appearing with variations of the coefficients from an equilibrium state of the type of a focus or a center, Math. Sb. (N.S.) 30 (72) (1952), p. 181–196.MathSciNetGoogle Scholar
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    J. Ecalle., J. Martinet., R. Moussu., J.P. Ramis., Non-accumulation de cycles limites, C.R.A.S., t. 304, série I, no 14 (1987), (I): p. 375–378, (II): p. 431–434.Google Scholar
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    J.P. Francoise and C.C. Pugh., Keeping track of limit cycles, Journal of Diff. Eq. 65 (1986) p. 139–157.MathSciNetCrossRefzbMATHGoogle Scholar
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    Yu. Il'yasenko., Ycπ. Math. Hayk., 42, 3 (1987), p. 223.Google Scholar
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    [R1] R. Roussarie., On the number of limit cycles which appear by perturbation of a separatrix loop of planar vector fields. Bol. Soc. Math. Bras. Vol. 17, no 2 (1986) p. 67–101.MathSciNetCrossRefzbMATHGoogle Scholar
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    [R2] R. Roussarie., Déformations génériques des cusps. (To appear in Astérisque: Journées Singulieres, Dijon, 1985).Google Scholar
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    [R3] R. Roussarie., Cyclicité finie des lacets et des points cuspidaux. (Preprint)Google Scholar
  9. [Y]
    J. Ch. Yoccoz., Non-accumulation des cycles limites, Séminaire Bourbaki 40e. Année, 1987–88, no 690.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • R. Roussarie

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