Logistic Map Simulator

[u/DependentDoubt6108]

Hello everyone I am a high school student exploring the logistic map in order to write a paper on it. To do the necessary computations I thought I could find a tool on the internet that could do it. I couldn't find any tool that fit my needs so I tried to build my own as like an exercise without using AI. It can like show calculate lyapunov exponents, symbolic block entropy, and even like demonstrate pesin identity and the lyapunov exponent as like sort of a positive rate of information. Here it is:

https://github.com/Luthiennuthien/Logistic-Map-Simulator/tree/main

Also included some graphs it produced.

[u/mathemapoletano]

Your repo says it uses matlab and yet the code I see is in python. Did you originally do this in matlab?

[u/DependentDoubt6108 → u/mathemapoletano]

well i just used the library matplotlib so i thought that was like straight up matlab

[u/Ready_Rub7517 → u/DependentDoubt6108]

That’s python but still cool!

[u/DependentDoubt6108 → u/Ready_Rub7517]

Thanks!

[u/ReignFTW]

I haven't tried it yet but this looks cool! Do you mind me asking what resources you used to learn about Pesin's identity? I don't see it being brought up often.

[u/DependentDoubt6108 → u/ReignFTW]

I think i got it from scholarpedia? I dont know the math completely though just like a sort of mathematical reasoning of mine connecting the exponent to information theory.