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Old 2021-10-14, 14:20   #1
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

22×3×79 Posts
Default chaotic dynamic systems 30 years later

Hi all,

Because I am happily married and retired, I have time to review dynamic systems.
I took one class in college about Chaoitic Dynamical Systems, and it was, and is fun for me.
The Bifurcation Diagram has two expressions.

B(t+1) = B(t)^2 - c.
where c is a constant between 0 and 4.
We choose 0 to 4 so that B(t) is bounded.
This part is from old memory, from the book "Chaos" by James Glick

see Amazon Book Link

According to Wikipedia, another way to assign values to a vector is with the expression

bn+1 = r * bn * (1 - bn )

see Wikipedia about Logistic map ( and population model )
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Old 2021-10-14, 18:07   #2
greenskull
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Good video on this topic.
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