Відео

34:15 WHOOP WHOOP

At 22:00 that left unstable point would only exist in a pure mathematical sense. But in the real world it wouldn't because if you have 0 bacteria the number of bacteria wouldn't increase. X>=1

Thx

also the 2nd diagram whichwas made for(gamma<1) I think its for gamma=1, because for gamma<1 the upper point will not be achievable.

is it safe to say that unstable and stable points will always be alternate. i.e. no 2 stable points can be neighbors??

great teacher

'..'

18:05 (meaning of Jacobian matrix), 1:01:08 (manifold)

Watched it all and still don't know how to do 3.5.5 :(

7:20 (definition of vector field), 20:19, 20:45 (linear system, chaos), 59:17 (meaning of imaginary value), 59:47 (direction of rotation)

37:36 43:31 1:07:38 (irreversible or hysteresis)

40:51 (autonomous system)

Είναι παντού..

7:14 won't it be Y*?

wow

😅😅😅👌

What head is sir talking about at the end of the video :)

Old Nova episode on Chaos: ua-cam.com/video/oo7Bhythhtw/v-deo.htmlsi=cd6oxbF4xFDpXYrC

Watch this old 1990s era Nova episode that discusses the Lorenz equations and Chaos. ua-cam.com/video/oo7Bhythhtw/v-deo.htmlsi=cd6oxbF4xFDpXYrC

pq nao tem uma legenda 😭😭😭😭😭 eu tinha que nascer logo em um pais que ninguem tem interesse para traduzir ou legendar as coisas

What are the Prerequisites for this course?

38:21 LOL

56:42 An argument can be made that something like the fractal canopy tree has countably infinite "sub-objects" as its "cardinal number". The primary root being 1, two secondaries being 2 and 3, four tertiaries being 4,5,6, and 7, and so on. But in general, fractals are geometric shapes and it's hard to define "cardinality" for geometric objects (unless you construct some sort of a set out of them). Cantor set is special here because it can be seen as a construction on the Reals, so we are able to inherit a notion of cardinality.

HE IS A GREAT TEACHER!

i am probably asking this question too early, but what happens to the phase space if it is non-autonomous?

why at r > 0, the diagram points the arrows away from the node, instead of going away and going towards the node......sore of both ways.....is a question....care to explain....reference to lecture 2

Why Schrodinger equation is linear? I thing, It is nonlinear.

Hi Sir hope you are having great time. I have a question regarding fixed point. In context of a function fixed point is defined as f(x) = x or standard notion is T(x)=x as given by Banach fixed point theorem. But in context of dynamical system when we use the word fixed point it seems that it doesn't relate to definition T(x) = x but rather we say that fixed point is where the derivative is zero. So my question is that does the word fixed point meaning differs in both contexts or is there any analogy.

How long u been gift. Cool thanf about the ridiculous ability to lie l. Its more about the dsn-5 sosiopath😅 Side bar... 😅

I c u 😂

He a fraud .... nonlinear means a st8 lines then he goes x y

U can use vig words butt fucker😅

He is a fraud @!!

U got people too pay 4 this? NERD . .. chiais theory don't work together . This guy is a fraud.. couldn't make it to MIT Hes just regurgitated horse hockey!!! 😂 The basic of the 2 words means are misnomer Hes a fraud!!!😂

Hello my dear SysBio Master students

Great lectures! 👏👏Thank you Professor Strogatz, for such an intuitive and stimulating introduction to nonlinear dynamics. I'd also recommend the Nonlinear Dynamics and Chaos book which I found very friendly and readable for beginners to do self-study. Still, regarding the background noise, I can't help being curious to know if the audio part was recovered from some chaos masking😄

Imagine wanting to learn chaos theory and cheat 😂

Why not just make the parameter another state element and kick up to 3d?

What's the name of the book that he was talking about at 50:23 Anyone has a clue ??

Respect

Can someone please tell me the title of his book. Thank you

Almost done with this course. I've been procrastinating on the homework since chapter 8, but once I finish all the lectures, I'm gonna do some interesting problems from chapters 8, 9, and 10. This course has been a gold mine for someone like me who doesn't like to read.

I'm excited to finally be in this part of the course!

Thank you professor Strogatz!

I hadn't heard of hysteresis before. That has me more concerned about climate change than I was before (which is saying a lot), as even if the concentration of CO2 decreases, we might still be stuck at a higher equilibrium temperature than we were before. On that note, I want to say: Thank you for making this lecture series freely available. This is easily the best online resource I've found on nonlinear dynamics. I can't wait to get to the Lorenz system, but I'm making sure to take my time and understand all of the earlier lectures so that I can really understand that later stuff.

The most efficient way to learn theory is to sit down and have another human being explain it to you, and then for you to go off and work out a problem yourself. Thanks for posting this, it's a great resource.

He shocked me from the beginning. What a great teacher!

I have an important question: is it really that difficult to but some lube on those pulleys?

34:00 I believe he was talking about the Voyager II, right?

This is the best thing I’ve learnt in a long time! Thanks for uploading this! :)