On the structure of existence regions for sinks of the Hénon map.
An extensive search for stable periodic orbits (sinks) for the Hénon map in a small neighborhood of the classical parameter values is carried out. Several parameter values which generate a sink are found and verified by rigorous numerical computations. Each found parameter value is extended to a larger region of existence using a simplex continuation method. The structure of these regions of existence is investigated. This study shows that for the Hénon map, there exist sinks close to the classical case.
Department of Electrical Engineering, AGH University of Science and Technology, al. Mickiewicza 30, Kraków 30-059, Poland.
Zbigniew
Z
Galias
Department of Mathematics, Uppsala University, Box 480, Uppsala 751 06, Sweden.
Warwick
W
Tucker