FO logistic map in MATLAB
Matlab program for solution of the Caputo-like discrete fractional difference
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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
引用
Marius-F. Danca (2026). FO logistic map in MATLAB (https://jp.mathworks.com/matlabcentral/fileexchange/118350-fo-logistic-map-in-matlab), MATLAB Central File Exchange. に取得済み.
Marius-F. Danca, Fractional order logistic map: Numerical approach, Chaos, Solitons and Fractals 157 (2022) 111851
