Borel summation and splitting of separatrices for the Henon map

Authors
Gelfreich, V Sauzin, D
Citation
V. Gelfreich et D. Sauzin, Borel summation and splitting of separatrices for the Henon map, ANN I FOUR, 51(2), 2001, pp. 513
Citations number
19
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT FOURIER
ISSN journal
03730956 → ACNP
Volume
51
Issue
2
Year of publication
2001
Database
ISI
SICI code
0373-0956(2001)51:2<513:BSASOS>2.0.ZU;2-C
Abstract
We study two complex invariant manifolds associated with the parabolic fixe d point of the area-preserving Henon map. A single formal lower series corr esponds to both of them. The Borel transform of the formal series defines a ll analytic germ.