Discovering Poincare Mappings | Video Abstracts

A method of data-driven discovery for Poincare mappings is described. The method is presented in full historical context going back to the nineteenth century. Illustrative examples are used to demonstrate the various aspects of applying the method, while a perspective on the utility of the method is also discussed.
Physica D link: www.sciencedirect.com/science...
ArXiv link: arxiv.org/abs/1908.10958
Code repository: github.com/jbramburger/Poinca...
Poincare maps for multiscale physics discovery and nonlinear Floquet theory
Jason J. Bramburger and J. Nathan Kutz
Twitter updates at @jbramburger7

[@surajchess3114]

Very well explained !!! I have not seen anyone explaining this subject better.

[@AA-gl1dr]

This is severely underrated.

[@GaetanLepage]

Great video ! Thank you for the nice explanations !

[@mueezadam8438]

Great presentation!

[@ATXMEG]

Awesome topic! Thanks for sharing. :)

[@immortaltechneezy]

Holy moly Jason! I see you've been busy on UA-cam... great work!

[@jasonbramburger]

Roland! Great to hear from you - hope you're doing well!

[@snehamoypatra9786]

Keep uploading such video

[@krishnaaditya2086]

Awesome Thanks!

[@dimitramaoutsa2978]

Great work!
Do you have any reference for using Poincare mappings for multiscale coarse-graining, or is it still work in progress?

[@jasonbramburger]

I do actually! We wrote a follow-up paper on this: journals.aps.org/pre/abstract/10.1103/PhysRevE.102.022204

[@dimitramaoutsa2978]

@@jasonbramburger Great! Thank you!

[@LukWaluk]

Is there a reason for using a picture of Ferdinand Sarrien other than him also being french?

[@isma3ilmath]

Dear Jason Bramburger
Can you give me " library of nonlinear time series" which you used
and SINDy directory
accpet all my respect
cordially
Best regards

[@jasonbramburger]

Hello Ismail, all code for this project is available here: github.com/jbramburger/Poincare-Maps