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/sci/ - Science & Math


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File: 555 KB, 1024x1024, 1024px-Lorenz_attractor_yb.svg.png [View same] [iqdb] [saucenao] [google]
8944171 No.8944171 [Reply] [Original]

I'm trying to just jump headfirst into learning Chaos Theory by myself, so /sci/ where do I start and should I learn anything prior?

>> No.8944174
File: 5 KB, 259x194, dl.jpg [View same] [iqdb] [saucenao] [google]
8944174

first you must become a master of chaos itself

>> No.8944179

>>8944171
Don't. If you think "chaos theory" is its own field then you don't know what you're talking about and you're just following a popsci meme.

>> No.8944181
File: 11 KB, 480x360, hqdefault.jpg [View same] [iqdb] [saucenao] [google]
8944181

>>8944171
First listen to Jordan B. Peterson and conquer the chaos within yourself. Start by cleaning your room

>> No.8944189

>>8944181
Is this guy the new Memeneux? Why is /pol/ shilling his shit all over my board?

>> No.8944198

>>8944189
>he hasn't sorted himself out yet

>> No.8944215

>>8944198
>not an argument

>> No.8944234

>>8944171
learn differential equations and linear algebra then study non-linear dynamics

from my experience (limited and entirely from physics, hence the nonlinear dynamics suggestion) it's not some field that you go out and "study" on its own, but you get deep enough into some other field which chaos theory has applications in, and you study those

what's your field of study?

>> No.8944236

>>8944179
OP here

I got no idea what it really is, read a little bit of the wiki. What I understood is-
1) It's some next level stuff
2) There is no true definition for "chaos" just requirements
3) Got something to do with Butterflies

Now I just gotta learn everything else

>> No.8944246

>>8944234
Haven't decided what I really want to study, just doing Engineering Physics right now to just see what I like the most so nothing

>> No.8944263

>>8944246
go read "chaos" by james gleick.
It's a fun, easy read.
It's a novel, and is about the history and fundamentals of chaos theory, and has no prerequisites.
It won't teach you anything about actually using "chaos theory" but it's a decent place to start I guess. At the very least it's interesting. Sounds like you aren't ready for any formal study of it anyway, I dunno.

Go buy some funky pendulums (you know the ones with arms of different lengths, balls of different weights, etc) and play with them? lol

>> No.8944268

>>8944246
Probably just picking up a basic stochastic processes text would be a good starting point. Having a decent knowledge of probability theory prior to studying stochastic processes would also be helpful.

It's been a while since I've read it, but I think Resnick's Adventures in Stochastic Processes book did a good job at building up stochastic processes from probability theory and without relying too much on analysis.

>> No.8944605

>>8944236

It's just a concept. The picture you attached is a Lorentz attractor which is something they use in 1st year engineering mathematics to show you how much an output can change given seemingly-minute changes to an input.

If you really like the idea of chaos theory, you have two options:
1. Study fluid dynamics and become a moderately ok engineer in the process if you don't give up when you realise how dull it all is
2. Become a philosopher, advance or re-invent the concept and either starve to death or become a professor

>> No.8944621

>>8944171
Get the book by Gleick, and maybe the one from Lorentz (the butterfly guy)

You need to be able to deal with ODEs/PDEs, and if you want to go deeper; figure out the shit on Hausdorrf dimension etc. etc. (Real Analysis comes in handy for the Theoretical approach, but I started on Gleick, made a program to model it in python, and went from there.)

have fun. (Modern terminology: Dynamic equations)

>> No.8944724

>>8944621
>>8944605
My dad got a Masters from MIT while Lorentz was there. He said that Lorentz was a farty old man

>> No.8944976

>>8944171
complexity explorer has some free courses

>> No.8945137

>>8944171
program a numerical PDE solver that plots solutions over an internal, then play with systems known to be chaotic, varying their parameters and initial conditions.