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.
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?
Additional Code by Eugenio Sainz Ortiz: github.com/GenioSainz/Dynamical-Systems
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.
i love the transparent table and the colors. truly a wonderful format to lure people into maths. great job
Brilliant explanation and reasoning through phase portraits without friction and with friction in a dynamical mechanical system.
I'm glad you corrected the name of the function, my brain was short-circuiting for a while there
Excellent teaching. Saved me going through several pages of a chapter.
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!
You are a great man and a great teacher may God bless you! And thanks for providing this for us.
amazing video. I cant eeven stress on how much phase portraits have troubled me
Fascinating!
Thank you...
Best math hours on this channel. Thanks man for the great work and love you are giving explanations!
wait... the phase portrait kinda looks as if its a contour plot when we look at the potential "hills and valleys" from "above"
"kinda" but not. The phase space follow the gradient of the hamiltonian, and the hamiltonian is the kinetic + potential.
This an work of art. Thank you!
Your handwriting is really nice!
This lecture is very interesting... Thank you very much.
amazing explanation! thank you
Glad you enjoyed it!
Thaks for the explanaition, It was super clear!
This was very instructive and helpful.
Beautiful! This is art!
Thanks!
thanks a lot Steve!
Thank you.
What an understandable lecture! Thank you so much!
Please also explain how to solve and draw phase portrait numerically like in MATLAB
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
Really, really🤯. Great explanaition
Thank You professor.
Sehr gut
How is the representation of trajectories in 3D space with t axis said in English?
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?
Sir can we draw this graph in Mathematica or in Matlab ?? If possible then make videos to draw this in Mathematica plz sir
Sir when we linearize nonlinear system what about error?
I am a beginner at these things where can I learn all the maths needed to understand this stuff. Someone, please help
Erwin Kreyszig - advanced engineering mathematics