Basin Bifurcations in a Two-Dimensional Logistic Map

Details Basin Bifurcations in a Two-Dimensional Logistic Map Basin Bifurcations in a Two-Dimensional Logistic Map

2003-04-29

arxiv.org/abs/nlin/0304059v1

Nonlinear Sciences

Chaotic Dynamics

18 pages, 34 figures

Scientific paper

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.

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