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FO_NC_Lyapunov

version 1.0.1 (3.27 KB) by Marius-F. Danca
Program to compute LEs of autonomous continuous systems of non-commensurate Caputo's Fractional Order

8 Downloads

Updated 8 Jul 2022

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The program, determines the LEs as function of time of non-commensurate fractional order autonomous continuous-time systems modeled by Capto's derivative [1] (for commensurate order see [2])
The program works similarly with the program for commensurate case [2], the difference being the use of another integration program for non-commensurate FDEs
Similarly to FO_Lyapunov (commensurate case), FO_NC_Lyapunov can be adapted to generate the variation of LEs as function of paratere, or one of the fractional orders (see the description in [2])
Again, as for commensurate case, the results depend strongly on the relation between h and h_norm (see [2], or description of FO_Lyapunov)
[1] Marius.-F. Danca, Matlab code for Lyapunov exponents of fractional-order systems, Part II: The non-commensurate case, International Journal of Bifurcation and Chaos, 31(12), 2150187, (2021)
[2] Marius-F. Danca and N. Kuznetsov, Matlab code for Lyapunov exponents of fractional order systems, International Journal of Bifurcation and Chaos, 28(05)(2018), 1850067

Cite As

Marius-F. Danca (2022). FO_NC_Lyapunov (https://www.mathworks.com/matlabcentral/fileexchange/114615-fo_nc_lyapunov), MATLAB Central File Exchange. Retrieved .

Marius.-F. Danca, Matlab code for Lyapunov exponents of fractional-order systems, Part II: The non-commensurate case, International Journal of Bifurcation and Chaos, 31(12), 2150187, (2021)

MATLAB Release Compatibility
Created with R2022a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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