Matlab code for FO logistic map

version 1.0.1 (1.57 KB) by Marius-F. Danca
Matlab program for solution of the Caputo-like discrete fractional difference

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Updated 29 Sep 2022

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Matlab program for solution of the Caputo-like discrete fractional difference Initial Value Problem
\Delta_*^q u(t)=f(t+q-1),u(t+q-1)), t\in N_{1-q}, u(0)=u_0
q\in(0,1), f continuous function depending on a real parameter p
The program can be simply adapted for other unidmensional map, or maps of higher dimensions
Example of use:
[u]=FO_discrete(0.8,2.3,.1,1000);
Regarding the paramer, see the ref.
The line
u(1)=u0+f(u0);
is designed to avoid the problem of the zero index in matlab

Cite As

Marius-F. Danca (2022). Matlab code for FO logistic map (https://www.mathworks.com/matlabcentral/fileexchange/118350-matlab-code-for-fo-logistic-map), MATLAB Central File Exchange. Retrieved .

Marius-F. Danca, Fractional order logistic map: Numerical approach, Chaos, Solitons and Fractals 157 (2022) 111851

MATLAB Release Compatibility
Created with R2022b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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