The Ri Lectures are on BBC4 and iPlayer now: https://www.bbc.co.uk/programmes/b00pmbqq They'll be on the Ri channel a month later: null Thanks to Jane Street, pateron supports and all viewers! Here's to another year of mathematics videos. https://www.janestreet.com/ https://www.patreon.com/standupmaths Pre-order the US edition of my math book Humble Pi. Cheers! http://bit.ly/humblepi Download the excel file from the video: https://www.dropbox.com/s/0c3hx00am0naetx/n-sync.xlsx?dl=0 This is the paper: "Synchronization of Globally Coupled Nonlinear Oscillators: the Rich Behavior of the Kuramoto Model" http://go.owu.edu/~physics/StudentResearch/2005/BryanDaniels/kuramoto_paper.pdf Sorry, Think Maths have not made any teacher resources for this video, but check out their resources for all my other videos here: http://think-maths.co.uk/standupmaths-videos CORRECTIONS - None yet, let me know if you spot any mistakes! - At 10:46 that is the lid falling off my pan. Not really a mistake, but I thought I'd mention it. Thanks again, as always, for Jane Street being my principal sponsor. https://www.janestreet.com/ Thanks to my Patreon supporters who help make these videos possible. Here is a random subset: Lucie Roux Emily Dingwell Richard Dickins Fernando Gaete Ferrari Josiah Thornton Support my channel and I can make more maths videos: https://www.patreon.com/standupmaths Filming and editing by Matt Parker Design by Simon Wright MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ Maths book: http://wwwh.umble-pi.com/ Nerdy maths toys: http://mathsgear.co.uk/