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Lorenz Attractor, Cool Framed & Mounted Print
Lorenz Attractor, Cool Framed & Mounted Print
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Simple equations have simple solutions. The assertion sounds reasonable, but over the 20th century mathematicians discovered how profoundly complicated dynamical systems can be merely by involving quadratic terms. Let \((x, y, z)\) denote spatial position, and let \(t\) represent time. In the 1960s, meteorologist Edward Lorenz and computer scientists Ellen Fetter and Margaret Hamilton studied a particularly simple-looking system of differential equations as a model of atmospheric convection: \begin{align*} \frac{dx}{dt} &= -10x + 10y, \\ \frac{dy}{dt} &= 28x - y - xz, \\ \frac{dz}{dt} &= xy - \tfrac{8}{3}z. \end{align*} An individual solution, rather than settling down to a point or loop as one might expect, instead moved unpredictably. Further, the qualitative behavior of solutions changed chaotically when the initial conditions were slightly varied. The image depicts randomly-chosen numerical solutions to the system. The two-lobed "strange attractor" that solutions "tend toward" can be glimpsed in the two eye-like loops near the center.
Created from high-quality wood, milled with simple clean lines and presented with a satin finish. Includes an off-white mount that will not discolour or fade with age. - Simple, elegant design - Premium, fine art paper with a gently textured surface - Handmade by specialist picture framers - FSC certified off-white mat / window mount - Delivered ready for hanging
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