rmine whether it is stable (i.s.L.) or unstable.  For each one of the stable equilibria, identify the basin of attraction.</li>

        <li> Consider an additive term $w$ in the system dynamics: $\dot x = f(x) + w$.  As $w$ ranges from $0$ to $\infty$, determine how many stable and unstable equilibrium points the system has. Support your answer with a sketch of the bifurcation diagram for nonnegative values of $w$.</li>

      </ol>

    </exercise>

    <exercise><h1>Enumerate Unstable Equilibria</h1>

  