{min}}(x)$ and $f_{\text{max}}(x)$ that verify the requirements above and have, respectively, $n_{\text{min}}$ and $n_{\text{max}}$ unstable equilibria.

    </exercise>

    <exercise><h1>Attractivity vs Stability</h1>

      Consider the dynamical system given by 
      \begin{align*} 
      \dot x_1 &= \begin{cases} 
      x_1 (1-|\bx|) + x_2 \frac{x_1-|\bx|}{2|\bx|}, & \text{if }\ |\bx| \neq 0, \\   
      0, & \text{if }\ |\bx| = 0,  
      \end{cases}\\
      \dot x_2 &= \begin{cases} 
      x_2 (1-|\