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  1. In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state.

  2. Jun 9, 2023 · The butterfly effect is the idea that small, seemingly trivial events may ultimately result in something with much larger consequences – in other words, they have non-linear impacts on very complex systems.

  3. The butterfly effect is an underlying aspect of chaos. It explains how a small fluctuation in one condition of a nonlinear deterministic system can generate a huge difference in the later outcomes. It means that there is delicate dependence on beginning states.

  4. Dec 6, 2019 · I have long wanted to make a video about chaos, ever since reading James Gleick's fantastic book, Chaos. I hope this video gives an idea of phase space - a picture of dynamical systems in which...

  5. Jul 16, 2008 · The so-called butterfly effect has become one of the most popular images of chaos. The idea is that the flapping of a butterfly’s wings in Argentina could cause a tornado in Texas three weeks later.

  6. A small perturbation in the initial setup of a chaotic system may lead to drastically different behavior, a concept popularly referred to as the butterfly effect from the idea that the actions of a butterfly may dramatically alter the physical state of the rest of the world.

  7. Feb 6, 2023 · So of course, chaos theory started a race among scientists to understand what happens when a system moves from a point of stability to a mess of infinite instability. A classic example of this is...

  8. Sep 4, 2013 · Chaos theory was immortalized in fiction by "The Sound of Thunder," a short story that tells the tale of a contemporary presidential election being affected significantly by the death of...

  9. May 22, 2015 · In 1987, the term “butterfly effect” took flight thanks to James Gleick’s best seller ‘Chaos: Making a New Science’—and Lorenz’s discovery reached a general audience. Plot of the Lorenz attractor, an icon of chaos theory.

  10. Oct 23, 2023 · The butterfly effect: What is chaos theory? For many centuries, the world was explained through the laws of Isaac Newton and classical physics. According to these laws, if the current state...