Matlab code for FO logistic map

Matlab program for solution of the Caputo-like discrete fractional difference
52 Downloads
Updated 29 Sep 2022

View License

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 (2024). 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
Tags Add Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.1

description

1.0.0