Question

What are the Lorenz Equations used for?

Answer 1

The Lorenz equations also arise in simplified models for lasers, dynamos, thermosyphons, brushless DC motors, electric circuits, chemical reactions and forward osmosis. From a technical standpoint, the Lorenz system is nonlinear,non-periodic, three-dimensional and deterministic.

Answer 2

A Lorenz system is a non linear, non periodic, deterministic, three dimensional system consisting of ordinary differential equations. It has chaotic solutions for certain initial conditions and parameter values.

Initially Edward Lorenz developed a model whose equations are as follows:

**********(please see equations in Upper attached)

Here, x,y and z are the system states, t is the time, sigma, rho and beta are system parameters.