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\[ \begin{aligned} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{aligned} \]
$f_X(x) = \frac{1}{\sqrt{2\,\pi}\,\sigma}e^{-\frac{1}{2}\frac{(x-\mu)^2}{\sigma^2}}$