History and Preliminaries - Dynamical Systems | Lecture 1

We start this lecture series with some history of dynamical systems. We discuss the progression of the discipline from Newton, through to Poincare, and into the twentieth century. We also present some preliminaries that help to formalize the notation and the types of systems we are interested in. We show that we can also consider autonomous systems of equations. We further discuss the importance of nonlinearity and the frontier of high-dimensional systems that we will work towards a better understanding of.
This course is taught by Jason Bramburger for Concordia University.
More information on the instructor: hybrid.concord...
Follow @jbramburger7 on Twitter for updates.

[@brightsideofmaths]

I really like your overview for your whole lecture series :) Keep up the good work!

[@dutonic]

Here to solidify a foundation in D.S. that can help me work with ties between probability theory and fractal geometry for problems in quantum physics. Excited to work through this. Thank you for taking the time to make these!

[@EXPloration_viaROHAN]

I am from IIT Kanpur your lecture is very appreciable ❤💙

[@JBroadway]

Here before this channel blows up! No seriously, this video got me pumped to learn mathematics! You have a real talent for teaching and I hope you continue to release content!

[@InebriatedEscapist]

Got the Strogatz book. Excited to work through it alongside your lectures!

[@gt6139a]

Thank you for your lectures. It is a well explained series so far and I am really enjoying it. Thank you. However, I do have 1 question: why can't growth and decay happen in a second order linear system? The spring mass damper system has oscillations as well as decay and it is a second order system.

[@g.l.5072]

This channel is going to get big big big

[@nate59plus]

Hella psyched to learn about dynamical systems 🤓

[@GiRAaLLLdo]

Amazing lecture!! Thanks a lot

[@lesmathsdusecondairequalif3346]

I thoroughly enjoyed the content of this episode and eagerly anticipate future installments focusing on dynamical systems. However, I would appreciate clarification regarding the interpretation of the variable "$n$" in the context of either representing the dimension of the state space or denoting the order of the associated partial differential equation.

[@jasonbramburger]

There weren't any partial differential equations in this video

[@amogh4523]

Great stuff. Thanks a lot! :)

[@alfreddelatourquipenche8287]

I like the setup. Have you tried changing board writing color to black when the white t-shirt is in the background; and if yes how did it look?

[@Konchok_Dawa]

I'm amazed that he can write backwards so clearly

[@camerashysd7165]

Yea right? It's coz he doesn't

[@hdtlab]

So, after 2 months. Did you figure out how he did it? 😅

[@Konchok_Dawa]

Nope! Im just a dum dum ​@@hdtlab

[@uzivatel123]

jason hamburger