Lorenz Attractor Periodic Orbits
Read the Fine Print
- Subject:
- Mathematics and Statistics, Science and Technology
- Institution Name:
- comPADRE
- Collection:
- Open Source Physics
- Grade Level:
- Post-secondary
- Abstract:
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.
- Course Type:
- Learning Module
- Languages:
- English
- Material Type:
- Activities and Labs, Simulations
- Media Format:
- Graphics/Photos, Other
- Conditions of Use:
- GNU Free Documentation License
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