B. Candelpergher, J. Nosmas, and F. Pham, Approche de la résurgence, Actualités Math, 1993.

]. J. Eca92 and . Ecalle, Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac, Eca93] J. ´ Ecalle. Six lectures on Transseries, Analysable Functions and the Constructive Proof of Dulac's conjecture, 1992.

D. Schlomiukeca05 and ]. Ecalle, Bifurcations and Periodic Orbits of Vector Field Twisted resurgence monomials and canonical-spherical synthesis of local objects. Analyzable functions and applications, Contemp. Math, vol.373, pp.75-184, 1993.

E. Fontich and C. Simó, The splitting of separatrices for analytic diffeomorphisms. Ergodic Theory Dynam, Systems, vol.10, issue.2, pp.295-318, 1990.

]. V. Gel98 and . Gelfreich, Analytical invariants of conformal transformations, a dynamical system approach, Regular and Chaotic Dynamics, vol.3, issue.4, pp.42-50, 1998.

V. Gelfreich and V. Lazutkin, Splitting of separatrices: perturbation theory and exponential smallness. Uspekhi Mat, Nauk Translation in Russian Math. Surv, vol.56, issue.56, pp.3-339, 2001.

V. Gelfreich and D. Sauzin, Sommation de Borel et ??cart des s??paratrices de l'application de H??non, Annales de l???institut Fourier, vol.51, issue.2, pp.513-567, 2001.
DOI : 10.5802/aif.1831

D. [. Gelfreich and . Sauzin, Borel summability and resurgence of parabolic curves in C 2, 2006.

]. F. Lor06 and . Loray, Pseudo-groupe d'une singularité de feuilletage holomorphe en dimension deux, Rennes, 2006.

]. B. Mal85 and . Malgrange, Introduction aux travaux de, J. ´ Ecalle. L'Enseign. Math, vol.31, issue.2, pp.3-4, 1985.

]. B. Mal95 and . Malgrange, Resommation des séries divergentes, Exp. Math, vol.13, pp.163-222, 1995.

D. [. Marmi and . Sauzin, Quasianalytic monogenic solutions of a cohomological equation, Memoirs of the American Mathematical Society, vol.164, issue.780, 2003.
DOI : 10.1090/memo/0780

J. Martinet and J. Ramis, Classification analytique des quations diffrentielles non linaires rsonnantes du premier ordre, Ann. Sci. cole Norm. Sup, vol.16, pp.4-571, 1983.

. Milnor, Complex dynamics Dynamics in one complex variable. Introductory lectures. Friedr, 1999.

C. Olivé, D. Sauzin, and T. Seara, R??surgence dans une ??quation de Hamilton-Jacobi, Annales de l???institut Fourier, vol.53, issue.4, pp.1185-1235, 2003.
DOI : 10.5802/aif.1977

M. Shishikura, The Hausdorff Dimension of the Boundary of the Mandelbrot Set and Julia Sets, The Annals of Mathematics, vol.147, issue.2, pp.225-267, 1998.
DOI : 10.2307/121009

M. Shishikura, Bifurcation of parabolic fixed points. The Mandelbrot set, themes and variations, pp.325-363

L. Math and . Soc, Lecture Note Ser., 274, 2000.

]. S. Ush80 and . Ushiki, Sur les liaisons-col des systèmes dynamiques analytiques, C. R. Acad. Sc. Paris, Sér. A, vol.291, pp.447-449, 1980.