Résumé: In this paper we show that in the Henon family of maps xn+1 = A + Byn - xn2, yn+1 = xn, for given parameter values, the orbit of an initial segment has a snail-like pattern that is related to the starfish-like pattern of the orbit of an initial point for the same parameter values. We study the parameter plane in the Henon family of maps, searching for orbits with both starfish-like and snail-like patterns. (

Langue: Anglais