Mod-01 Lec-04 Linear dynamical systems

[@DeltaNordicAdvance]

I love the intro. It brings ancient and modern together. V. Balakrishnan is a rare kind of brilliant man.

[@lucagiardina7292]

the best physics prof i have seen before....really!

[@manaharchowdhury2402]

listening to your lectures is like Listening music. Your words are pure and abstract!

[@davebinaz4576]

Like classical music, either you have an ear for it or you do not. No different for this professor's compositions.

[@abhimanyudubey338]

Just a minor correction: @ 18:49 , that equation should be d/dt ( x ) = L * x and not d/dt ( x_dot ) = L * x

[@anandmohan92]

Thank you for that.

[@saqlainmushtaq8959]

No that's x dot then how will you get eqn for v dot

[@starstuff11]

@@saqlainmushtaq8959 If so, then you wont get the same result for x(t)

[@Gurukul22]

Tq very much sir, it's too much fascinating to know about what will happen after billion years😇🌼

[@ccandantube]

Great lecture, thanks so much Professor!

[@evonykid4890]

What do I need to know understand this lecture. His every point is sounding it as if "obviously this is the function that makes sense". but I do not get the gist of the connect. should I be reading something else before I watch this video?

[@pacchutubu]

@53:23 does Navier Stokes's equation comes under this? because we don't have explicit equation for pressure.

[@dr.k.naveenkumar207]

its a very good lecture

[@yeswekey]

seriously man, if you don't like some stuff, just leave it... Even I hate chemistry, but i never go and abuse all chemistry professors. Every1 is equally important for mankind. I REPEAT: If you don't like something, just leave it. Don't give negative comments like this.

[@AniketSharmacodes]

Can someone explain me what is the connection between minors of a matrix and eigen values?

[@s0ulfire]

IIT...reminds me of my failure to reach there

[@s0ulfire]

@Varun Tripathi it actually worked out, I’m in a different field and very happy. Destiny needs to run its course.

[@Aman-dh6df]

@@s0ulfire happy to hear that :)

[@koenth2359]

34:30 How can an arrow go in the -x direction (leftward) when v>0 (above the x-axis)?

[@arunsharma1060]

you are right. The velocity needs to be in negative x direction. Professor makes a correction later in the video.

[@subrahmanyamsubbu6001]

Is that b.sc class or m.sc class ?

[@s0ulfire]

WE ARE NOT ALONE!..IILM HERE I COME \m/

[@kxm73]

@nosexinindia Some IITs have an integrated MSc. But all have MSc and PhD.

[@minhokim8263]

I found something odd: at 25:40 if D=SLS^-1 then S^-1 is the set of eigenvectors not S. People do not use it this way, I think it is much better to write D=(S^-1)DS.

[@mathieumaticien]

Yeah I think he meant LS = SD => L = SDS^{-1} => D = S^{-1}DS

[@siddhantrathi5378]

Can someone please explain in brief the stuff at the end about solvability, integrability and that the system cannot be solved but can be computed?

[@srinibashpatra5086]

By the Integrability Prof.Bala means he cannot give a solution to the set of equations using which we can get the answer.But nevertheless getting the value at specific point is never tough as by putting in the point in differential equations we can get the velocity. But generalising into a specific formula is tough. This is what I could understand.Correct me if I'm wrong.

[@siddhantrathi5378]

@@srinibashpatra5086 Integrability means the ability to find the particular combination of functions that satisfy the given conditions (the general solution of the differential equations) whereas Solvability means the ability to find the value at 1 point, using approximation techniques. This is what I understood from what you told. Sounds good?

[@srinibashpatra5086]

@@siddhantrathi5378 yeahhhh...😄

[@titania174]

Please suggest a book

[@souvik9305]

Can someone explain how it becomes at 33:15

[@thequitoxicthinker]

Did you find the answer bro? I am also having the same doubt

[@thequitoxicthinker]

Got it bro. Take (L-Lambda*I), solve for its determinant and equate it to Zero. We can solve for Lambda that way

[@Chewwhaha]

@@thequitoxicthinker could you explain it why? How did the eigen vectors come into the picture here?

[@KartikGupta-w6h]

Phase space is between P and X ryt? not V and X

[@rakibkarikar1217]

It is a bsc physics lecture Or msc physics lecture, please someone tell me?

[@Pinemaxx]

M.Sc

[@gamebird9640]

Will this course be helpful to CSE students?

[@Raj-gc2rc]

Not at alll

[@Pinemaxx]

absolutely not

[@yeswekey]

well said

[@LordNaver]

why is x(t)matrix = e^Lt * x(0) matrix ? please explain

[@LordNaver]

He says this is formal solution

[@anjali9542]

Timeline 10.27 V(x) plot is wrt x and V'(x) was time derivative in the equation of motion. He points at the graph of V(x) on x and says V'(x) is zero which is not a plot of V(x) with time!

[@saqlainmushtaq8959]

Here V is function of q or more precisely position. He he mentioned it in his previous lectures

[@nsumanth18]

V'(x) for the case of potential is not a differentiation wrt "t", it's with respect to the coordinate

[@rahulshaw8970]

Is there anybody else, who also thinks, what he writes at 19:56, something missing there?

[@HazRiders]

Can the introduction be any longer please?

[@SoumilSahu]

It might get annoying, but it's supposed to be a prayer you do before you start studying. It's supposedly to calm your mind and improve your concentration.

[@subrahmanyamsubbu6001]

Is this b.sc class or m.sc class ?

[@abdulreyhan9760]

Main physics starts from half ( dynamical system) of this lecture...

[@varghesereji2818]

Still watch in 2020

[@shehatesmi]

intro is boring it sucks as wel

[@leophysics]

The meaning is . Every one should get food Every one should get knowledge. And money Everyone one's sons and daughters should become capable and mature healthy. The wife & husband should become loyal . Every one should love their parents. Then and only then peace will be established

[@rajakeshav]

@@leophysics It doesn't mean any of the things you said!

[@adityat90]

crap