Melnikov functions and Bautin ideal

Author:

Roussarie Robert

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference15 articles.

1. E. Bierstone, P. Milman,Semi analytic and sub analytic sets, Publ. Math. IHES,67 (1988), pp. 5–42.

2. Z. Denkowska, S. Lojasiewicz, J. Stasica,Certaines propriétés élémentaires des ensembles sous-analytiques, Bull. Acad. Sci. Pol.,27 (1979), pp. 525–527,Sur le théorème du complémentaire pour les ensembles sous-analytiques. ibidem, pp. 537–539.

3. Z. Denkowska, J. Stasica,Ensembles sous analytiques à la polonaise, Preprint, Krakow (1986).

4. J.-P. Françoise,Géométrie analytique et Systèmes dynamiques, Presses Universitaires de France (1995), pp. 1–249.

5. J.-P. Françoise,Successive derivatives of a first return map, application to the study of quadratic vector fields, Erg. Th. and Dyn. Sys.16,n o 1 (1996), pp. 87–96.

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