11 Facts About Lorenz attractor

Lorenz attractor system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz attractor.

In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system.

Lorenz attractor equations arise in simplified models for lasers, dynamos, thermosyphons, brushless DC motors, electric circuits, chemical reactions and forward osmosis.

The Lorenz attractor equations are the governing equations in Fourier space for the Malkus waterwheel.

From a technical standpoint, the Lorenz attractor system is nonlinear, aperiodic, three-dimensional and deterministic.

The Lorenz attractor equations have been the subject of hundreds of research articles, and at least one book-length study.

Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model.

In Figure 4 of his paper, Lorenz attractor plotted the relative maximum value in the z direction achieved by the system against the previous relative maximum in the direction.

Lorenz attractor found that when the maximum value is above a certain cut-off, the system will switch to the next lobe.

The Lorenz attractor equations are derived from the Oberbeck–Boussinesq approximation to the equations describing fluid circulation in a shallow layer of fluid, heated uniformly from below and cooled uniformly from above.

Solution in the Lorenz attractor rendered as a metal wire to show direction and 3D structure.