Fractal Basins and Boundaries in 2D Maps inspired in Discrete Population Models

2010/06/18 by Danièle Fournier-Prunaret, Fournier-Prunaret, Daniele, Ricardo López‐Ruiz +1
Economics, Econometrics and Finance · Medicine · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Graphics (cs.GR) #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1006.3661

openalex publication_date 2010/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two-dimensional maps can model interactions between populations. Despite their simplicity, these dynamical systems can show some complex situations, as multistability or fractal boundaries between basins that lead to remarkable pictures. Some of them are shown and explained here for three different 2D discrete models.

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