Analyze a butterfly-like Lorenz attractor with this simulation.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.

Because Edward Lorenz derived these equations as a simplified model of two-dimensional convective fluid flow, the a and b parameters are referred to as the Prandtl number the Rayleigh number, respectively.?The c parameter is geometric factor.?The xyz-coordinates are the convective intensity, temperature difference, and temperature profile.?The solution to these equations and its geometric structure can, however, be appreciated without this physics interpretation.?We follow Lorenz and use a=10, b=28, and c=8/3 as default conditions.

Embedded in the Lorenz 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.

Requirements:
* Java

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