Basin Bifurcations in a Two-Dimensional Logistic Map
arXiv:nlin/0304059
Abstract
Previous works have been devoted to the study of two-dimensional noninvertible maps, obtained using a coupling between one-dimensional logistic maps. This paper is devoted to the study of a specific one, in order to complete previous results (Ref. 5 and 7), regarding the evolution of basins and attractors, when considering the tool of critical manifolds.
18 pages, 34 figures