Chaos theory thread?

Chaos theory thread?

Other urls found in this thread:

rutracker.org/forum/viewtopic.php?t=1098760
sprott.physics.wisc.edu/fractals/booktext/sabook.htm
pastebin.com/5pcsgFzt
youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V
sixtysymbols.com/videos/feigenbaum.htm
youtube.com/watch?v=NGMRB4O922I
youtube.com/watch?v=09JslnY7W_k
seas.harvard.edu/softmat/downloads/pre2000-02.pdf
mega.nz/#F!8llHnYZL!gWl-CwNddQFq5uVaPlltNg
twitter.com/SFWRedditGifs

gonna post all my chaos map pictures

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also these are 2d map functions using quadratic equations

y = c1*y + c2*x + c3*xy + c4*y*y + c5*x*x
x = c6*y + c7*x + c8*xy + c9*y*y + c10*x*x

y = c1*y + c2*x + c3*xy + c4*y*y + c5*x*x + c6
x = c7*y + c8*x + c9*xy + c10*y*y + c11*x*x + c12

missed the constant terms

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rutracker.org/forum/viewtopic.php?t=1098760

1. The Chaos Revolution
2. The Clockwork Universe
3. From Clockwork to Chaos
4. Chaos Found and Lost Again
5. The Return of Chaos
6. Chaos as Disorder—The Butterfly Effect
7. Picturing Chaos as Order—Strange Attractors
8. Animating Chaos as Order—Iterated Maps
9. How Systems Turn Chaotic
10. Displaying How Systems Turn Chaotic
11. Universal Features of the Route to Chaos
12. Experimental Tests of the New Theory
13. Fractals—The Geometry of Chaos
14. The Properties of Fractals
15. A New Concept of Dimension
16. Fractals Around Us
17. Fractals Inside Us
18. Fractal Art
19. Embracing Chaos—From Tao to Space Travel
20. Cloaking Messages with Chaos
21. Chaos in Health and Disease
22. Quantum Chaos
23. Synchronization
24. The Future of Science

any graphical representations of what it does?

I'm currently reading through this:
sprott.physics.wisc.edu/fractals/booktext/sabook.htm

pretty interesting

also if anyone wants this program I pasted the source code here:

pastebin.com/5pcsgFzt

I wrote it before i found out what a Lyapunov exponent was.

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Has anyone who has watched these attest to whether or not they're watered down? Strogatz has his full Cornell course on nonlinear dynamics and chaos on YouTube so it might be a better use of time to watch that instead.

youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V

The book he uses is online too.

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its 30min per lecture, its pretty introductory
maybe its not the best course, but its pretty great for someone who just started learning this stuff

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thanks for the wallpapers m80

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np, haven't gotten to the colored ones yet. The hilbert space of these is huge due to there being 12 coefficients so there is huge variety. Also this is almost the simplest set of equations as well, the simplest is probably the logistic map. You can go 3d, 4d, with quartic, quintic and higher order equations with even more coefficients.

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>rutracker.org/forum/viewtopic.php?t=1098760
shit, there any other good scientific book torrents?

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its not a book

idk, fortunately there's /t/ and torrents subreddit

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sixtysymbols.com/videos/feigenbaum.htm

youtube.com/watch?v=NGMRB4O922I

youtube.com/watch?v=09JslnY7W_k

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Holy shit these are beautiful

Haven't even gone past 2 dimensions and quadratic equations yet.

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can you upload all of these in a folder? i want to use these as my desktop background

they're dope af man dont stop posting

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I'll upload a torrent with all the pictures and the program/source code.

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you're a boss

I'll be able to upload the torrent to piratebay in an hour.

Please tell me you're baiting

seas.harvard.edu/softmat/downloads/pre2000-02.pdf

drippy faucets exhibit chaos.. and also feigenbaum constant applies as well

almost out of pictures

uploading everything to mega now actually

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For anyone interested in how the program works:
It generates a random set of 12 coefficients for the equations I mentioned above. Then plugs in a non-zero value into the equations and sees where it goes. If it does something uninteresting, it generates a new set and starts over again. My current algorithm to detect interestingness only looks for specific cases like diverging into infinity, converting to a point, or revolving around in a cycle. The proper way to do it is actually to calculate a Lyapunov exponent. Also only about 1.0% of all the possible sets of coefficients are actually chaotic.

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Finished uploading, here's the mega folder:
mega.nz/#F!8llHnYZL!gWl-CwNddQFq5uVaPlltNg

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Added a printout of the coefficients. Haven't programmed in so long...

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found a penis

These are fucking great OP