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Lyapunov Exponents Computation for Various Non-Linear Dynamic Problems
Authors

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Nasri Zakia
Organization: National Institute of Applied Sciences and Technology
Department: Chemical Engineering Department
Revision date

2008-02-29
Description

We apply the method by M. Sandri in order to determine the maximum Lyapunov exponent as well as all the Lyapunov exponents. Result can be compared to the Matlab code written by V.N. Govorukhin, which is given in the folder lyapounov2.zip. We get the same results using Mathematica and Matlab. The non-linear dynamic problems studied here are the Lorenz and Rosler systems as well as the non-isothermal chemical system of Tomlin and Scott.
Subjects

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

non-isothermal chemical system, Lyapounov exponent, chaotic behaviour, periodic behaviour, Matlab, Mathematica, Lorenz system, Rosler system, non-linear dynamics
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RECUPfinal.nb (364.6 KB) - Mathematica Notebook [for Mathematica 6.0]
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lyapunov2.zip (4.4 KB) - ZIP archive