Lorenz attractor - ορισμός. Τι είναι το Lorenz attractor
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Τι (ποιος) είναι Lorenz attractor - ορισμός

SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS FIRST STUDIED BY EDWARD LORENZ
Lorenz attractor; Lorentz attractor; Lorenz Attractor; Lorenz's attractor; Lorentz's attractor; Lorenz equation; Lorenz equations; Lorentz system; Lorenz oscillator; Smale's fourteenth problem; Butterfly attractor; Lorenz's strange attractor
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Lorenz attractor         
<mathematics> (After Edward Lorenz, its discoverer) A region in the phase space of the solution to certain systems of (non-linear) differential equations. Under certain conditions, the motion of a particle described by such as system will neither converge to a steady state nor diverge to infinity, but will stay in a bounded but chaotically defined region. By chaotic, we mean that the particle's location, while definitely in the attractor, might as well be randomly placed there. That is, the particle appears to move randomly, and yet obeys a deeper order, since is never leaves the attractor. Lorenz modelled the location of a particle moving subject to atmospheric forces and obtained a certain system of {ordinary differential equations}. When he solved the system numerically, he found that his particle moved wildly and apparently randomly. After a while, though, he found that while the momentary behaviour of the particle was chaotic, the general pattern of an attractor appeared. In his case, the pattern was the butterfly shaped attractor now known as the Lorenz attractor. (1996-01-13)
Lorenz system         
The Lorenz system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions.
Lorenz Beven         
ANGLICAN ARCHDEACON
Francis Lorenz Beven; Lorenz Bevan
Francis Lorenz Bevan, MA (30 October 1872“Alumni Cantabrigienses: A Biographical List of All Known Students, Volume 2” Venn, J/Venn, J.A: Cambridge, CUP 1902 (rev 1940, 2011) – 11 March 1947 Rootsweb) was an Anglican priest in Sri Lanka during the first half of the Twentieth century:World Cat he was the Archdeacon of Jaffna from 1925 until 1935; and after that Archdeacon of Colombo from then until his death.

Βικιπαίδεια

Lorenz system

The Lorenz system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system. In popular media the "butterfly effect" stems from the real-world implications of the Lorenz attractor, namely that in a chaotic physical system, in the absence of perfect knowledge of the initial conditions (even the minuscule disturbance of the air due to a butterfly flapping its wings), our ability to predict its future course will always fail. This underscores that physical systems can be completely deterministic and yet still be inherently unpredictable. The shape of the Lorenz attractor itself, when plotted in phase space, may also be seen to resemble a butterfly.