Morpho butterfly overlayed over one of two trajectories of the Lorenz attractor . The starting point of the two trajectories differ by one-100,000th of a unit, and their paths start to diverge after 23 time steps.
"It's poetic, the notion that the flap of a butterfly's wing in Brazil can set off a cascade of atmospheric events that, weeks later, spurs the formation of a tornado in Texas. This so-called "butterfly effect" is used to explain why chaotic systems like the weather can't be predicted more than a few days in advance. One can't know every little factor affecting the atmosphere — every flutter of every butterfly in Brazil — so there's little hope of foreseeing the exact time and place a storm will touch down weeks later."





