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Author Topic: Lorenz Attractor Periodic Orbits  (Read 5270 times)
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ahmedelshfie
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on: July 05, 2010, 06:17:05 pm » posted from:SAO PAULO,SAO PAULO,BRAZIL

This following applet is Lorenz Attractor Periodic Orbits
Written by Wolfgang Christian Modified by Ahmed
Original project from O.S.P Lorenz Attractor Periodic Orbits
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.

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* Lorenz Attractor Orbits.gif (19.93 KB, 624x592 - viewed 450 times.)
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