An enormous thanks to Prof. Steven Strogatz — this video would not have been possible without him. Much of the scriptwriting was inspired and informed by his wonderful book Sync, and his 2004 TED talk. He is a giant in this field, and has literally written the book on chaos, complexity, and synchronization. It was hard to find a paper in this field that Steven (or one of his students) didn't contribute to. His Podcast "The Joy of X" is wonderful — please listen and subscribe wherever you get your podcasts https://www.quantamagazine.org/tag/th...
Great Kuramoto Model Interactive — https://www.complexityexplorables.or...
Strogatz, S. H. (2012). Sync: How order emerges from chaos in the universe, nature, and daily life. Hachette UK. — https://ve42.co/Sync
Strogatz, S. H. (2000). From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators. Physica D: Nonlinear Phenomena, 143(14), 120. — https://ve42.co/Strogatz2000
Goldsztein, G. H., Nadeau, A. N., & Strogatz, S. H. (2021). Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(2), 023109. — https://ve42.co/Goldsztein
Bennett, M., Schatz, M. F., Rockwood, H., & Wiesenfeld, K. (2002). Huygens's clocks. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 458(2019), 563579. — https://ve42.co/Bennett2002
Kuramoto, Y. (1975). Selfentrainment of a population of coupled nonlinear oscillators. In International symposium on mathematical problems in theoretical physics (pp. 420422). Springer, Berlin, Heidelberg. https://ve42.co/Kuramoto1975
The Manim Community Developers. (2021). Manim – Mathematical Animation Framework (Version v0.13.1) [Computer software]. https://www.manim.community/
Special thanks to Patreon supporters: Mac Malkawi, Oleksii Leonov, Michael Schneider, Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Lyvann Ferrusca, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
Written by Derek Muller and Petr Lebedev Animation by Fabio Albertelli and Jakub Misiek Simulations and 3D Animation by Jonny Hyman Filmed by Derek Muller and Raquel Nuno Edited by Derek Muller Additional video supplied by Getty Images Thumbnail by Ignat Berbeci
More footage from NASA's Scientific Visualization Studio
100 metronome video from • メトロノーム同期(100個)
Intro animation by Jorge Cham
Thanks for the BZ footage from SteinbockGroup: • Scroll waves drift along step edge and NileRed • Recreating one of the weirdest reactions