Is there a Reliable Simulink-based model that can be used to generate the Lyapunov exponents, the bifurcation diagram, and the Poincaré section for continuous-time chaotic systems, at least the famous third/fourth order ones.
If no, what is the most recent MATLAB code that can do that, with the best accuracy.
Have a look at these functions examples: https://au.mathworks.com/matlabcentral/fileexchange/4628-calculation-lyapunov-exponents-for-ode
https://au.mathworks.com/matlabcentral/fileexchange/4628-calculation-lyapunov-exponents-for-ode
https://au.mathworks.com/matlabcentral/fileexchange/4628-calculation-lyapunov-exponents-for-ode
See also https://au.mathworks.com/matlabcentral/fileexchange/48084-wolf-lyapunov-exponent-estimation-from-a-time-series
I have used the following tool box for computing Lyapunov exponents.
https://www.mathworks.com/matlabcentral/fileexchange/233-let
The GUI is also available and the source code can be easily modified. You can also code it yourself as I believe it can be done easily.
Hello Dr Zaher, I hope you are well.
There is this matlab code posted by Dr. Alan Wolf in Mathworks' file exchange website.
https://www.mathworks.com/matlabcentral/fileexchange/4628-calculation-lyapunov-exponents-for-ode
I myself never tested it, but I have used many times his algorithm in other programming languages to compute Lyapunov Exponents in my research. The algorithm can be found in the following paper: Wolf et al. (1985) Determining Lyapunov Exponents From a Time Series DOI: 10.1016/0167-2789(85)90011-9
Best Regards
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