Illustration
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The butterfly effect in the Lorenz attractor time 0 ≤ t ≤ 30 (larger) z coordinate (larger) These figures show two segments of the three-dimensional evolution of two trajectories (one in blue, the other in yellow) for the same period of time in the Lorenz attractor starting at two initial points that differ by only 10−5 in the x-coordinate. Initially, the two trajectories seem coincident, as indicated by the small difference between the z coordinate of the blue and yellow trajectories, but for t > 23 the difference is as large as the value of the trajectory. The final position of the cones indicates that the two trajectories are no longer coincident at t = 30. A Java animation of the Lorenz attractor shows the continuous evolution.
Read more about this topic: Butterfly Effect
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