Respected All,
I need to compute in MATLAB both the Lyapunov exponents for 2D discrete-chaotic Logistics map defined as:
x(n+1)=r*(3*y(n)+1)*x(n)*(1-x(n)); y(n+1)=r*(3*x(n)+1)*y(n)*(1-y(n));
where, r = 0.4: 0.01: 1.2
I am comfortable with computing the LE for any 1D discrete chaotic map like 1D logistic map with that differentiation method. But, I am confused for its 2D version. Is there any method of computing its two LEs using its generated two time series ( for x-series and y-series)? or How that differentiation method be extended for this 2D version?
Please help and provide the sample matlab code (for any discrete 2D chaotic map) if anyone is having it. I shall be highly thankful for the kind help and guidance.
Regards,
Musheer
Dear Ahmed,
Can you eloborate and help in finding the LEs in matlab for 2d Logistic map.
You need to do that with regards to time series analysis.
The right question has been answered here:
https://www.researchgate.net/post/How_to_compute_the_Lyapunov_exponent_for_a_time_series
You can read this paper and then you can calculate LE values for any time series
Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography. IEEE MultiMed. (2019). https://doi.org/10.1109/MMUL.2018.2873472
Dear Moatsum,
thanks for yout advice. I have already done the task of computing LEs for n-D discrete chaotic map.
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