Exercise $1$

Consider the following $3$D dynamic system:

$x^{}=s(y-z)$

$y^{}=kx-yz$

$z^{}=x-z$

where $k$ and $s$ are parameters. Answer the following questions.

$6.$ Is the system showing chaotic behavior? If yes, for which values of the parameter $k?$

$(2$ pt$.)$