How does order spontaneously arise out of chaos? This video is sponsored by Kiwico - go to www.kiwico.com/Veritasium50 for 50% off your first month of any crate.
An enormous thanks to Prof. Steven Strogatz - this video would not have been possible without him. Much of the script-writing 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 www.quantamagazine.org/tag/th...
Nicky Case's Amazing Firefly Interactive - ncase.me/fireflies
Great Kuramoto Model Interactive - www.complexity-explorables.or...
Strogatz, S. H. (2012). Sync: How order emerges from chaos in the universe, nature, and daily life. Hachette UK. - 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(1-4), 1-20. - 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. - ve42.co/Goldsztein
The Broughton Suspension Bridge and the Resonance Disaster - ve42.co/Broughton
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), 563-579. - ve42.co/Bennett2002
Pantaleone, J. (2002). Synchronization of metronomes. American Journal of Physics, 70(10), 992-1000. - ve42.co/Pantaleone2002
Kuramoto, Y. (1975). Self-entrainment of a population of coupled non-linear oscillators. In International symposium on mathematical problems in theoretical physics (pp. 420-422). Springer, Berlin, Heidelberg. -- ve42.co/Kuramoto1975
Great video by Minute Earth about Tidal Locking and the Moon - ve42.co/MinuteEarth
Strogatz, S. H., Abrams, D. M., McRobie, A., Eckhardt, B., & Ott, E. (2005). Crowd synchrony on the Millennium Bridge. Nature, 438(7064), 43-44. - ve42.co/Strogatz2005
Zhabotinsky, A. M. (2007). Belousov-zhabotinsky reaction. Scholarpedia, 2(9), 1435. - ve42.co/Zhabotinsky2007
Flavio H Fenton et al. (2008) Cardiac arrhythmia. Scholarpedia, 3(7):1665. - ve42.co/Cardiac
Cherry, E. M., & Fenton, F. H. (2008). Visualization of spiral and scroll waves in simulated and experimental cardiac tissue. New Journal of Physics, 10(12), 125016. - ve42.co/Cherry2008
Tyson, J. J. (1994). What everyone should know about the Belousov-Zhabotinsky reaction. In Frontiers in mathematical biology (pp. 569-587). Springer, Berlin, Heidelberg. - ve42.co/Tyson1994
Winfree, A. T. (2001). The geometry of biological time (Vol. 12). Springer Science & Business Media. - ve42.co/Winfree2001
The Manim Community Developers. (2021). Manim - Mathematical Animation Framework (Version v0.13.1) [Computer software]. 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 www.youtube.com/watch?v=suxu1...
Intro animation by Jorge Cham
Thanks for the BZ footage from SteinbockGroup: www.youtube.com/watch?v=IJn1s... and
Animation of waves in the heart from The Virtual Heart/ EM Cherry/ FH Fenton - ve42.co/Cardiac and ve42.co/Cherry2008
Chemical materials and protocol provided by Mike Morris and the UCI Chemistry Outreach Program www.chem.uci.edu/~jsnowick/ou...
Thanks to Alie Ward for title/thumbnail consultation
Thanks to Dr Juliette Becker and Dr James O'Donoghue for the planetary science help
Music from Jonny Hyman, Epidemic Sound epidemicsound.com "Seaweed" "Deeper Than The Ocean" "Ripple Effect"
Music also from Artlist artlist.com "Children of Mystery"
Thumbnail by Ignat Berbeci