Drawing Phase Portraits for Nonlinear Systems

[@Eigensteve]

Additional Code by Eugenio Sainz Ortiz: github.com/GenioSainz/Dynamical-Systems

[@dafield_family6668]

i love the transparent table and the colors. truly a wonderful format to lure people into maths. great job

[@albertopenacabana]

And finally here!! Thanks for this series of videos, Steve. The way you explain math, going to the deep meaning, giving the intuition behind each concept, is definitely the way to make people love math.

[@rajendramisir3530]

Brilliant explanation and reasoning through phase portraits without friction and with friction in a dynamical mechanical system.

[@philblandford5560]

I'm glad you corrected the name of the function, my brain was short-circuiting for a while there

[@woodworkingaspirations1720]

Excellent teaching. Saved me going through several pages of a chapter.

[@mikhail_koshelev]

Beautiful! Thank you a lot for the videos! I check the channel every day for new episodes. Hope you won't stop making more content in the future!

[@malikialgeriankabyleswag4200]

You are a great man and a great teacher may God bless you! And thanks for providing this for us.

[@AniruddhKrishna]

amazing video. I cant eeven stress on how much phase portraits have troubled me

[@whootoo1117]

Best math hours on this channel. Thanks man for the great work and love you are giving explanations!

This an work of art. Thank you!

[@hoseinzahedifar1562]

This lecture is very interesting... Thank you very much.

[@alirezaesmailnezhad7200]

This was very instructive and helpful.

[@ivargun]

Your handwriting is really nice!

[@ireoluwaTH]

Fascinating! Thank you...

[@eugeniagomes2727]

Thaks for the explanaition, It was super clear!

[@otibb]

Beautiful! This is art!

[@Eigensteve]

Thanks!

[@williancintra4850]

Great class! My only question is: how can he write backwards like that?

What an understandable lecture! Thank you so much!

[@GeoffryGifari]

wait... the phase portrait kinda looks as if its a contour plot when we look at the potential "hills and valleys" from "above"

[@demr04]

"kinda" but not. The phase space follow the gradient of the hamiltonian, and the hamiltonian is the kinetic + potential.

[@carrion.alfredo]

Really, really🤯. Great explanaition

[@Giovanni2862]

How is the representation of trajectories in 3D space with t axis said in English?

[@surbhi4028]

Please also explain how to solve and draw phase portrait numerically like in MATLAB

[@BalaramPradhan-i4f]

Thank you so much sir for such a nice explanations. Sir please make a video how to draw this graph in Mathematica or in Matlab

[@tarielsimonyan9907]

thanks a lot Steve!

[@MM-ei7xv]

amazing explanation! thank you

[@Eigensteve]

Glad you enjoyed it!

[@BalaramPradhan-i4f]

Sir can we draw this graph in Mathematica or in Matlab ?? If possible then make videos to draw this in Mathematica plz sir

[@anandkumarpatidar1140]

Thank You professor.

[@komalfiza1314]

Sir when we linearize nonlinear system what about error?

[@GeoffryGifari]

is the usefulness of linearizing around fixed points providing us with hints on how to draw the entire phase portraits just from the behavior around those neighborhoods?

[@khayahbrookes]

Thank you.

[@chohan2253]

I am a beginner at these things where can I learn all the maths needed to understand this stuff. Someone, please help

[@petrijunttila8054]

Erwin Kreyszig - advanced engineering mathematics

[@manfredbogner9799]

Sehr gut

[@kktech04]

P h e n o m e n a l lecture