 remain inside the
        $\epsilon$ ball for all of time.</li>

        <li>Locally <b>attractive</b>.  A fixed point is locally attractive if  
        for every (small) $\epsilon$ we have $x(0) = x^* + \epsilon$ implies
        that $\lim_{t\rightarrow \infty} x(t) = x^*$.</li>

        <li>Locally <b>asymptotically stable</b>.  A fixed point is locally
        asymptotically stable if it is locally stable i.s.L. and locally attractive.</li>

        <li>Locally <b>exponentially stable</b>.  A fixed poi