Bifurcation Diagram for the cubic map and a realistic model for population dynamics -- from Wolfram Library Archive

Products

Consulting & Solutions

Learning & Support

Company

Wolfram|Alpha

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how

Title

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

Downloads

Cubic_Map.nb (232.5 KB) - Mathematica Notebook

Population-Dynamics.nb (174.5 KB) - Mathematica Notebook

WOLFRAM