Basin Bifurcations in a Two-Dimensional Logistic Map

2003/04/29 by Danièle Fournier-Prunaret, Daniele Fournier-Prunaret, Fournier-Prunaret, Daniele +3
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Aquatic and Environmental Studies #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Modeling, Simulation, and Optimization #Pattern Formation and Solitons (nlin.PS) #nlin.CD #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0304059

18 pages, 34 figures

arxiv created 2003/04/29 · openalex publication_date 2003/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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