Lorenz Attractor Periodic Orbits

[ahmedelshfie]

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.

Embed a running copy of this simulation
<applet code='users.br.ahmed.LorenzAttractorOrbits_pkg.LorenzAttractorOrbitsApplet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/37048/ejs_LorenzAttractorOrbits.jar' name='LorenzAttractorOrbits6812' id='LorenzAttractorOrbits6812' width='674' height='616' mayscript=true><param name='draggable' value='true'></applet>
Embed a running copy link(show simulation in a popuped window)
<a href='http://www.phy.ntnu.edu.tw/ntnujava/msg.php?smfejs=6812' target='smfejs'>Run simulation</a>

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Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License

• Please feel free to post your ideas about how to use the simulation for better teaching and learning.
• Post questions to be asked to help students to think, to explore.
• Upload worksheets as attached files to share with more users.

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