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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.
Barnsley fern created using the chaos game. Natural forms (ferns, clouds, mountains, etc.) may be recreated through an iterated function system (IFS). James Clerk Maxwell first emphasized the "butterfly effect", and is seen as being one of the earliest to discuss chaos theory, with work in the 1860s and 1870s.
Lorenz was born in 1917 in West Hartford, Connecticut. [5] He acquired an early love of science from both sides of his family. His father, Edward Henry Lorenz (1882-1956), majored in mechanical engineering at the Massachusetts Institute of Technology, and his maternal grandfather, Lewis M. Norton, developed the first course in chemical engineering at MIT in 1888.
A recreation of Lorenz's results created on Mathematica. Points above the red line correspond to the system switching lobes. Points above the red line correspond to the system switching lobes. In Figure 4 of his paper, [ 1 ] Lorenz plotted the relative maximum value in the z direction achieved by the system against the previous relative maximum ...
Butterfly effect image. The butterfly effect describes a phenomenon in chaos theory whereby a minor change in circumstances can cause a large change in outcome. The scientific concept is attributed to Edward Lorenz, a mathematician and meteorologist who used the metaphor to describe his research findings related to chaos theory and weather prediction, [1] [2] initially in a 1972 paper titled ...
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.
Wawa and a police carThis guy gave new meaning to the slogan “Gottahava Wawa.” Police in East Windsor, N.J., arrested a 24-year-old man on Dec. 23, and charged him with...
(de Sitter effect: see) Geodetic effect (general relativity) Debye–Falkenhagen effect; Decoy effect (consumer behavior) (decision theory) (economic theories) (finance theory) (marketing) Delay (audio effect) (audio effects) (effects units) (musical techniques) Dellinger effect (radio communications) Dember effect (electrical phenomena) (physics)