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Lyapunov Exponents Computation for Various Non-Linear Dynamic Problems
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| Department: | Chemical Engineering |
| Organization: | National Institute of Applied Sciences and Technology |
| Department: | Chemical Engineering Department |
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2008-02-29
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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.
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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] | | lyapunov2.zip (4.4 KB) - ZIP archive |
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