Lorenz Attractor Periodic Orbits

Analyze a butterfly-like Lorenz attractor with this simulation.
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Lorenz Attractor Periodic Orbits Ranking & Summary

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  • Rating:
  • License:
  • GPL
  • Publisher Name:
  • Wolfgang Christian
  • Operating Systems:
  • Windows All
  • File Size:
  • 1.4 MB

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Lorenz Attractor Periodic Orbits Description

Lorenz Attractor Periodic Orbits is a small, Java based application designed to display a 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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