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Bifurcation Diagram for the cubic map and a realistic model for population dynamics

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
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The notebooks compute the bifurcation diagrams for the cubic map and a realistic population dynamics model. The value of parameter r, when the cycle of period three appears, is indicated. As expected, for higher values of r, we observe chaotic behaviour. Both models are given in the problems’ section (problems 2.34 and 2.35; page 207) in Varma and Morbidelli, Mathematical Methods in Chemical Engineering, Oxford University Press, 1997. This work was inspired by the notebook of Professor Brian Higgins, U C Davis, who studied the logistic map: http://www.higgins.ucdavis.edu/chemmath.php

*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering

Bifurcation diagram, cubic map, realistic population dynamics model, cycle of period three, chaotic behaviour
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Cubic_Map.nb (232.5 KB) - Mathematica Notebook
Population-Dynamics.nb (174.5 KB) - Mathematica Notebook

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