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Bifurcation Diagram for the cubic map and a realistic model for population dynamics 1.0

  Date Added: July 09, 2013  |  Visits: 399

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

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The programs compute the bifurcation diagram 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 . A similar treatment using Mathematica can be found at: http://library.wolfram.com/infocenter/MathSource/6614/ .

Requirements: No special requirements
Platforms: Matlab
Keyword: Brian Chemical Engineering Found Inspired Mathematica Mathematical Methods Morbidelli Notebook Oxford Press Professor Similar Treatment University Varma
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License: Freeware Size: 20.48 KB
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BIFURCATION DIAGRAM FOR THE CUBIC MAP AND A REALISTIC MODEL FOR POPULATION DYNAMICS RELATED
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