I hadn't heard of hysteresis before. That has me more concerned about climate change than I was before (which is saying a lot), as even if the concentration of CO2 decreases, we might still be stuck at a higher equilibrium temperature than we were before. On that note, I want to say: Thank you for making this lecture series freely available. This is easily the best online resource I've found on nonlinear dynamics. I can't wait to get to the Lorenz system, but I'm making sure to take my time and understand all of the earlier lectures so that I can really understand that later stuff.
Professor Strogatz, this is another incredible lecture on the Model of an insect outbreak and it's impact on nature. Biologist are always interested in these models for a deep understanding of nature. Differential Equations is very important in Dynamics and Chaos.
In this video, the professor discusses the model of an insect outbreak. This is an important model in biology. He shows the equation of dynamics at first, which includes a logistic growth term and a predator term. Then dimension analysis is applied to make the equation easy to handle. The most interesting part is the discussion about fixed points and the jump phenomenon. In the end, he draws a 3-D picture to show the jump phenomenon is hysteresis.
About the point one student mentioned that k is also a function of A (k=K/A), I just want to add that x itself is also a function of A (x=N/A). In fact, when you change "A", you are also shrinking or stretching the abscissa. The point is "x" and "k" are changing harmonically and so it doesn't change the dynamics of the system. In fact, it is similar to assume that "k" doesn't change (at least, graphically) when "A" changes.
Hi I would appreciate the help of someone who took the course or has the material to provide me with the assignments or problem sets in this course which are typically chosen from the textbook just problem numbers from the textbook for each assignment. Kind regards
12:30 is such a beautifully drawn curve. Holy crap
I hadn't heard of hysteresis before. That has me more concerned about climate change than I was before (which is saying a lot), as even if the concentration of CO2 decreases, we might still be stuck at a higher equilibrium temperature than we were before.
On that note, I want to say: Thank you for making this lecture series freely available. This is easily the best online resource I've found on nonlinear dynamics. I can't wait to get to the Lorenz system, but I'm making sure to take my time and understand all of the earlier lectures so that I can really understand that later stuff.
5:01 lecture start
Professor Strogatz, this is another incredible lecture on the Model of an insect outbreak and it's impact on nature. Biologist are always interested in these models for a deep understanding of nature. Differential Equations is very important in Dynamics and Chaos.
In this video, the professor discusses the model of an insect outbreak. This is an important model in biology. He shows the equation of dynamics at first, which includes a logistic growth term and a predator term. Then dimension analysis is applied to make the equation easy to handle. The most interesting part is the discussion about fixed points and the jump phenomenon. In the end, he draws a 3-D picture to show the jump phenomenon is hysteresis.
Fantastic and very influential lecture with the detailed and original style of teaching having perfectly balanced mathematics and biology...
About the point one student mentioned that k is also a function of A (k=K/A), I just want to add that x itself is also a function of A (x=N/A). In fact, when you change "A", you are also shrinking or stretching the abscissa. The point is "x" and "k" are changing harmonically and so it doesn't change the dynamics of the system. In fact, it is similar to assume that "k" doesn't change (at least, graphically) when "A" changes.
thanks
I found it helpful to get out the play dough to model the cusp catastrophe surface.
Thanks so much for sharing these lectures!
This is a really good video! Thanks!
Fantastic. Great. I struggled with these concepts for 20 years, NOW I understand them and it makes me very happy. Many thanks.
0:30 "Could you be quiet, please?" Ya I am also not fond of noisy students who talk in class. Just expel them out of the class.
Lecture starts at 5.00
Thanks again.
Hi
I would appreciate the help of someone who took the course
or has the material to provide me with the assignments or problem sets in this
course which are typically chosen from the textbook just problem numbers from
the textbook for each assignment.
Kind regards
I have an important question: is it really that difficult to but some lube on those pulleys?
Does anyone know where to find the practice exercises?
I miss Cornell.
@1:14:13 - damn. hysterisis effect with climate change. We are so screwed!
48:29 How to plot k(x), r(x) in kr plane?
muchas gracias profesor Strogatz.... ecología de las ideas en "modeling the
emergence of novelties"?
Love the videos.
Would really help to model it on computer.
lecture starts at 5:00
thank you :)
Hello my dear SysBio Master students
camera man should properly handle/focus the camera. Bad camera handling.
May be quiet, please? (O.O)
37:36 43:31 1:07:38 (irreversible or hysteresis)