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| 	Lorenz attractor  : FOLDOC |   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 app
 
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