LORENZ ATTRACTOR

  

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LORENZ ATTRACTOR

Specialty Definition: LORENZ ATTRACTOR

DomainDefinition

Computing

Lorenz attractor (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). Source: The Free On-line Dictionary of Computing.

Source: compiled by the editor from various references; see credits.

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Specialty Definition: Lorenz attractor

(From Wikipedia, the free Encyclopedia)

Named after Edward Lorenz, the Lorenz attractor is an example of a strange attractor showing chaotic motion from a simple three-dimensional model of atmospheric convection.


One projection of the Lorenz attractor

The system is most commonly expressed as 3 coupled non-linear differential equations:

where a = 10, b = 28, c = 8 / 3.

External links:

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Lorenz attractor."

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Crosswords: LORENZ ATTRACTOR

Specialty definitions using "LORENZ ATTRACTOR": Edward Lorenz. (references)

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Anagrams: LORENZ ATTRACTOR

Scrabble® Enable2K-Verified Anagrams

Words within the letters "a-a-c-e-l-n-o-o-r-r-r-t-t-t-z"

-5 letters: alternator, correlator.

Source: compiled by the editor from various references; see credits.

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Alternative Orthography: LORENZ ATTRACTOR


Hexadecimal (or equivalents, 770AD-1900s) (references)

4C 4F 52 45 4E 5A      41 54 54 52 41 43 54 4F 52

Leonardo da Vinci (1452-1519; backwards) (references)

    

Binary Code (1918-1938, probably earlier) (references)

01001100 01001111 01010010 01000101 01001110 01011010 00100000 01000001 01010100 01010100 01010010 01000001 01000011 01010100 01001111 01010010

HTML Code (1990) (references)

&#76 &#79 &#82 &#69 &#78 &#90 &#32 &#65 &#84 &#84 &#82 &#65 &#67 &#84 &#79 &#82

ISO 10646 (1991-1993) (references)

004C 004F 0052 0045 004E 005A      0041 0054 0054 0052 0041 0043 0054 004F 0052

Encryption (beginner's substitution cypher): (references)

4649523948602355454523537544952

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INDEX

1. Crosswords
2. Anagrams
3. Orthography
4. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.