Basins of attraction

Version 1.0.0.0 (15.9 KB) by KSSV
To plot a basin of attraction for given governing equations: x^3-y = 0 ; y^3-x = 0
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Updated Thu, 19 Sep 2013 18:29:45 +0000

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While solving a system of equations using any numerical method, the point to which the method converges is strongly dependent on the initial guess. The set of points that converge to a given root is called the basin of attraction of that root. It would be interesting to visualize the basins of attraction by coloring each starting point with a different color depending on which root it converges to. The different basins will thus be given different colors. The basins of attraction obtained will look like fractals.

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KSSV (2024). Basins of attraction (https://www.mathworks.com/matlabcentral/fileexchange/43564-basins-of-attraction), MATLAB Central File Exchange. Retrieved .

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Created with R2010a
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Basins of Attraction/

Version Published Release Notes
1.0.0.0