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Symmetry in Chaos

paulbourke.net

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Re: Symmetry in Chaos

#11

Post by HDevo »

Paul Bourke's website is great; don't forget to check his other articles!

Over 10 years ago, it inspired me to play with strange attractors, which eventually ended with me writing https://github.com/chaoskit/chaoskit.

It was fun and I learned a lot, but it's definitely a deep rabbit hole. I've moved on since then.

Re: Symmetry in Chaos

#13

Post by fellowmartian »

talkingtab wrote: post #7

"A new kind of Science". Wolfram. Don't leave home without it. Seriously though. We talk about AI, but In My Opinion, the most powerful and interesting game changer is "Complex Adaptive Systems". I call them gestalts - the sum is greater than the parts because of how the parts interact to produce behaviors. Gestalts are all around us and we seem bizarrely unaware of them. Do you have some money? That means you are pa…

I used to believe in the “sum is greater than the parts” bit, in the context of emergence etc, but then I’d realized it’s at odds with basic information theory: where does the information go? what computes these behaviors? To me the answer is pretty clear: you’re outsourcing some of your storage and compute into the environment. Without a suitable substrate none of this would be possible.

Re: Symmetry in Chaos

#18

Post by ilaksh »

talkingtab wrote: post #7

"A new kind of Science". Wolfram. Don't leave home without it. Seriously though. We talk about AI, but In My Opinion, the most powerful and interesting game changer is "Complex Adaptive Systems". I call them gestalts - the sum is greater than the parts because of how the parts interact to produce behaviors. Gestalts are all around us and we seem bizarrely unaware of them. Do you have some money? That means you are pa…

In other words, metasystems via metasystem transitions.

See Cosmic Evolutionary Philosophy and a Dialectical Approach to Technological Singularity

https://www.semanticscholar.org/paper/Cosmic-Evolutionary-Ph...

Re: Symmetry in Chaos

#19

Post by VHRanger »

defrost wrote: post #9
talkingtab wrote: post #7

"A new kind of Science". Wolfram. Don't leave home without it. Seriously though. We talk about AI, but In My Opinion, the most powerful and interesting game changer is "Complex Adaptive Systems". I call them gestalts - the sum is greater than the parts because of how the parts interact to produce behaviors. Gestalts are all around us and we seem bizarrely unaware of them. Do you have some money? That means you are pa…

http://bactra.org/reviews/wolfram/

Thanks, whenever Wolframs stuff comes up that bactra piece and this one:

singlelunch.com/2020/04/23/why-stephen-wolframs-research-program-is-a-dead-end

Should be mentioned since people should have the context that he's considered a crank byoat everyone in the communities he's doing research in

Re: Symmetry in Chaos

#20

Post by abetusk »

These are awesome, but it would be nice to understand, even at some heuristic level, why they're periodic with the period they do have.

Alternatively, what is a change to a completely periodic orbit to chaos with the same "periodic symmetry" that gives some enlightenment of where the chaos is being inserted and why it isn't destroying the periodic orbit.

Does anyone have an idea of whats' going on, or references that I can look at?

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