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

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2006-11-02
Description

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
Subjects

*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
Keywords

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