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Application of the arc length continuation method in nonlinear chemical dynamics
Author

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

2006-10-19
Description

In this notebook, an example from the field of nonlinear chemical dynamics is presented. Governing equation and reaction scheme can be found in G. Nicolis, Dynamique Chimique, Thermodynamique, cinétique et mécanique statistique, Dunod, Paris 2005. We use the ImplicitPlot function and the arc length continuation method to get the steady states for a fixed value of lambda=1. We get the famous S-shaped curve. Then, we look for the steady states for a fixed value of mu=0.2. We get two disjoint braches (one branch has a turning point and gives two steady states). The author would like to acknowledge the help of Professor Brian Higgins, Chemical Engineering Department, U. C. Davis who kindly provided notebooks on continuation methods.
Subjects

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

Arc length continuation method, ImplicitPlot, nonlinear chemical dynamics, multiple steady states, turning points
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nicolis49.nb (370.5 KB) - Mathematica Notebook [for Mathematica 5.2]