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The Lorenz Equations

In this section, we shall learn some of the basic dstool operations by examining the Lorenz equations. The Lorenz equations are given by

\begin{eqnarray*}
\dot{x} & = & \sigma(y-x) \\
\dot{y} & = & \rho x - y - x z \\
\dot{z} & = & -\beta z + xy \\
\end{eqnarray*}


These equations represent a truncation of a partial differential equation which models two-dimensional fluid convection. This system was first studied by Lorenz in the early 1960's. The reader is directed to [1], [2], or [3] for more information regarding the nature and behavior of this system.





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1998-11-02