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A sample solution in the Lorenz attractor when ρ = 28, σ = 10, and β = 8 / 3 . The Lorenz system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz.
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior.Maps may be parameterized by a discrete-time or a continuous-time parameter.
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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.
This site may have been important in the competition between the Mahayana and Theravada Buddhist traditions in ancient Sri Lanka. In Professor Senarath Paranavithana 's book The Story of Sigiri , King Dathusena is said to have taken the advice of the Persian Nestorian Priest Maga Brahmana on building his palace on Sigirya.
750 × 750 (1.78 MB) Wikimol: 17:45, 4 January 2006: 750 × 750 (1.8 MB) Wikimol: An icon of chaos theory - the Lorenz atractor. Now in SVG. Projection of trajectory of Lorenz system in phase space Based on images Image:Lorenz system r28 s10 b2-6666.png by User:Wikimol and Image:Lorenz attractor.svg by [[User:User:Dschw
A Lorenz curve always starts at (0,0) and ends at (1,1). The Lorenz curve is not defined if the mean of the probability distribution is zero or infinite. The Lorenz curve for a probability distribution is a continuous function. However, Lorenz curves representing discontinuous functions can be constructed as the limit of Lorenz curves of ...
Lorenz attractor, calculated with octave and converted to SVG using a quick hack perl script. Trace starts in red and fades to blue as t progresses. Work in progress.