Lorenz Attractor

Lorenz Attractor The Lorenz attractor describes the two-dimensional flow of fluids under a particular set of assumptions. It arises from the following equations, discovered by Edward Lorenz in 1963: \[\begin{equation} \begin{split} \frac{\partial x}{\partial t} & = \delta(y-x),\\ \frac{\partial y}{\partial t} & = x(\rho-z)-y,\\ \frac{\partial z}{\partial t} & = xy-\beta z \end{split} \end{equation}\]

where \(x\), \(y\), and \(z\) make up the system state, \(t\) is time and \(\sigma\), \(\rho\), and \(\beta\) are the system parameters.

The Lorenz attractor has been the subject of a book and a plethora of research papers.

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