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You've probably heard of the Butterfly Effect - the flap of a butterfly's wings in Brazil can set off a tornado in Texas. But what does that mean, really? Here's a few examples of systems that exhibit what's known as 'sensitive dependence on initial conditions': complex pendulums, the weather, the infamous Tacoma Narrows Bridge, and even the Solar System itself!
This video was originally created for the University of Sydney's online course, Numbers and Numerics (NaN).
Credits:
Pendulum simulator: (c) 2009 Freddie Witherden
Lorenz: MIT Museum
Royal McBee: www.computerhistory.org
Tacoma Narrows Bridge: • Tacoma Narrows Bridge ... , • Video , • Colour footage of the ...
Bridge animations: Gianni Arioli & Filippo Gazzola, www1.mate.polili.it/~gianni/bridge4.mp4
Milky Way, Sun Earth & Planets images: NASA
Jaques Laskar: www.imcce.fr/annuaire/jacques-laskar
Solar System animations created with Universe Sandbox 2, universeandbox.com
#math #maths #chaos #science #butterfliesoutofcontrol