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THE BUTTERFLY EFFECT
Strange Stars Pulse to the Golden Mean
Natalie Wolchover
Mathematicians in the 1970s used attractors to model the behavior of chaotic systems like the weather, and they found that the future path of such a system through its attractor is extremely dependent on its exact starting point. This sensitivity to initial conditions, known as the butterfly effect, makes the behavior of chaotic systems unpredictable; you can’t tell the forecast very far in advance if the flap of a butterfly’s wings today can make the difference, two weeks from now, between sunshine and a hurricane. The infinitely detailed paths that most chaotic systems take through their attractors are called “fractals.”
The future path of a chaotic system through its attractor depends extremely sensitively on its exact initial state, such that paths from nearby starting points quickly diverge (top). In a strange nonchaotic system, however, paths with nearby starting points stay correlated (bottom). Olena Shmahalo/Quanta Magazine. Source: Nicolas Desprez
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Edited: 01.01.2022, 08.07.2023
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