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Title: Lorenz Attractor Periodic OrbitsPost by: ahmedelshfie on July 05, 2010, 06:17:05 pm
This following applet is
Lorenz Attractor Periodic OrbitsWritten by Wolfgang Christian Modified by Ahmed Original project from O.S.P Lorenz Attractor Periodic Orbits (http://www.compadre.org/osp/items/detail.cfm?ID=8986)The butterfly-like Lorenz attractor is a simplified model of two-dimensional convective fluid flow and is one of the best known images of chaos. Embedded in this attractor are unstable periodic orbits described by Viswanath and this model computes a number of these orbits. Each periodic orbit is classified by the number of times the trajectory orbits the A and B fixed points before it repeats. Note that because the attractor is chaotic and because of numerical errors and the finite precision of the initial conditions, errors accumulate and the trajectory leaves the vicinity of a periodic orbit after a half dozen cycles. |