Non linear Phase Space

[@ericbauer6595]

Great Video covering a breadth of nonlinear topics real quick. Definitely needed for a refresher

[@katlig4699]

Great teaching

[@shashisharma8588]

Great Lecture Sir. What may be the physical interpretation/observation of theta to be outside = pi and - pi? Is it a pathological analysis for the sake of it? Thanks

[@hazemahmed8333]

this is great thank you so much

[@اممحمد-ق2ه]

How to find Equil Phase Portrait of three (x,y,z) Hi and thanks a lot for your help! My problem is the following: I would like to draw a phase portrait for a system of 3 differential equations.

[@اممحمد-ق2ه]

Can you help please How classification of critical points of system in three equation in 3d

[@Udoysankar]

It's not clear to me why you have omitted the square root in the second case..in that case the eigen vectors will be different

[@pmiron]

I think you forgot the mass when making it nicer.

[@PLUVideoPhysicsBret]

+Philippe Miron I think the mass cancels out. This is actually a big deal, that the motion of a pendulum doesn't depend on mass. It's just as big of a deal as the fact that gravitational acceleration doesn't depend on mass.

[@pmiron]

+Dr. Underwood's Physics KZbin Page That's what I first thought. Though at one point, you have mL\ddot(\theta) = -Lgsin(\theta) and there's a missing m on the right hand side. But after this line it is removed from both sides so the following equations are right.

[@PLUVideoPhysicsBret]

+Philippe Miron Ah, yes, there is indeed a typo in that intermediate step where I dropped the "m"!