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A plot of Lorenz' strange attractor for values ρ=28, σ = 10, β = 8/3. The butterfly effect or sensitive dependence on initial conditions is the property of a dynamical system that, starting from any of various arbitrarily close alternative initial conditions on the attractor, the iterated points will become arbitrarily spread out from each other.
In 1972, Lorenz coined the term "butterfly effect" as a metaphor to discuss whether a small perturbation could eventually create a tornado with a three-dimensional, organized, and coherent structure. While connected to the original butterfly effect based on sensitive dependence on initial conditions, its metaphorical variant carries distinct ...
The 2015 video game Until Dawn features the butterfly effect as a central plot point, using the concept to describe how player choices can drastically affect the outcome of events. [ 26 ] [ 27 ] The video game series Life Is Strange , first released in 2015, makes multiple references to the butterfly effect and uses it to describe how player ...
The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. [24] Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems. This problem was the first one to be resolved, by Warwick Tucker in 2002. [25]
Birthday-number effect; Boomerang effect; Bouba/kiki effect; Bystander effect; Cheerleader effect; Cinderella effect; Cocktail party effect; Contrast effect; Coolidge effect; Crespi effect; Cross-race effect; Curse of knowledge; Diderot effect; Dunning–Kruger effect; Einstellung effect; Endowment effect; Face superiority effect; False fame ...
Theories in physics like the butterfly effect from chaos theory open up the possibility of a type of distributed parameter systems in causality. [citation needed] The butterfly effect theory proposes: "Small variations of the initial condition of a nonlinear dynamical system may produce large variations in the long term behavior of the system."
The butterfly isn't just an elegant emblem in Ree's world. In Greek mythology, psyche (which means "soul" or "butterfly") is often depicted with butterfly wings. Butterflies are thus connected to ...
The text remains in print and is widely used as an introduction to the topic for the mathematical layperson. The book approaches the history of chaos theory chronologically, starting with Edward Norton Lorenz and the butterfly effect, through Mitchell Feigenbaum, and ending with more modern applications.