Tangencies for real and complex Hénon maps: an analytic method

Fornæss, John Erik; Gavosto, Estela A.

Experiment. Math., Tome 8 (1999) no. 4, p. 253-260 / Harvested from Project Euclid

Résumé

We present a method for computing generic homoclinic tangencies in the complex Hénon map, based on analytic parametrizations of the stable and unstable manifold, and we discuss applications and consequences of the existence of such tangencies.

Publié le : 1999-05-14
Classification: 37F45, 32H50, 37M99, 65P30

@article{1047262406,
     author = {Forn\ae ss, John Erik and Gavosto, Estela A.},
     title = {Tangencies for real and complex H\'enon maps: an analytic method},
     journal = {Experiment. Math.},
     volume = {8},
     number = {4},
     year = {1999},
     pages = { 253-260},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047262406}
}

Fornæss, John Erik; Gavosto, Estela A. Tangencies for real and complex Hénon maps: an analytic method. Experiment. Math., Tome 8 (1999) no. 4, pp.  253-260. http://gdmltest.u-ga.fr/item/1047262406/