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The Semenov Model

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
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The Semenov model consists of a single highly non-linear ODE. This model exhibits multiple steady states for some values of the parameter gamma. We find the steady states of this ODE as a function of this parameter. Two methods are used for this purpose: the ImplicitPlot and the arc length continuation method. Both methods give the same results. Details about the Semenov model can be found in: G. Nicolis, Dynamique Chimique, Thermodynamique, cinétique et mécanique statistique, Dunod, Paris 2005. The author would like to acknowledge the help of Professor Brian Higgins, Chemical Engineering Department, U C Davis who kindly provided notebooks on arc length continuation methods.

*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering

The Semenov Model, non-linear dynamics, multiple steady states, arc length continuation method, ImplicitPlot
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semenov.nb (162.5 KB) - Mathematica Notebook [for Mathematica 5.2]