Henon map bifurcation diagram for various worths of b [OC]
Henon map bifurcation diagram for different values of b [OC]
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Wednesday, November 25, 2020
Nikola Tesla
I do not think you can name many great inventions that have been made by married men
Albert Einstein
Imagination is more important than knowledge.
Alright I’ll be the dumbass: can someone tell me what the hell I’m looking at?
Have you tried mapping the Lyapunov exponent in a,b space? Years ago a professor introduced me to some really cool images created this way for the logistic map where R is replaced by a repeating sequence {A, A, B, A, etc.}. A and B are then varied over [0,4], and each value of (A, B) is mapped to an (x, y) coordinate. The value of the Lyapunov exponent is mapped from -infinity = blue (stable) through 0 = black (periodic) to red = positive (chaos).
My old physics department lore has it that this professor shared this idea with someone else, and now these carry that person’s name.
Jupyter notebook located at https://github.com/trislee/cool-notebooks/blob/master/Henon.ipynb