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Two paths start just 0.00000001 apart. By the end, they are in completely different places. This is the butterfly effect -- made visible ... This is a 2D plot of y solution against x solution, using standard parameters sigma = 10, beta = 8/3, rho = 28. The initial condition ... A behind-the-scenes look at how I animate videos. Code for all the videos: Manim: ... This video shows the solution of a system of differential equations known as the
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