CHEN ATTRACTOR

A mathematical representation of the so-called Chenmodel is described as a particular parametric three-dimensional chaotic dynamicalsystem, i.e. a system of three nonlinear differential equations evolving in time.

and a system of three ordinary differential equations describing the appropriate laws of fluid dynamics $\left\{ \begin{eqnarray*} \frac{dx}{dt}&=&\alpha x- y z\\ \frac{dy}{dt}&=&\beta y + x z \\ \frac{dz}{dt}&=&\delta z + x y/3 \end{eqnarray*}\right. $

When $\alpha$ = 10, $\delta$ = -0.38, and $\beta$ = -10, a solution curve of this system has the shape of two beautiful curves and the position of particles will follow a similar path.

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