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Wikipedia:Picture of the day/April 24, 2006 - Wikipedia, the free encyclopedia

Wikipedia:Picture of the day/April 24, 2006

From Wikipedia, the free encyclopedia

Picture of the day

A plot of the trajectory Lorenz system for values ρ=28, σ = 10, β = 8/3

The Lorenz attractor, introduced by Edward Lorenz in 1963, is a non-linear three-dimensional deterministic dynamical system derived from the simplified equations of convection rolls arising in the dynamical equations of the atmosphere. For a certain set of parameters the system exhibits chaotic behavior and displays what is today called a strange attractor; this was proven by W. Tucker in 2001. The strange attractor in this case is a fractal of Hausdorff dimension between 2 and 3. Grassberger (1983) has estimated the Hausdorff dimension to be 2.06 ± 0.01 and the correlation dimension to be 2.05 ± 0.01.
Photo credit: Wikimol
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