nt is locally
        exponentially stable if for every (small) $\epsilon$, we have $x(0) =
        x^* + \epsilon$ implies that $\| x(t) - x^* \| < Ce^{-\alpha t}$, for
        some positive constants $C$ and $\alpha$.</li>

        <li><b>Unstable</b>.  A fixed point is unstable if it is not locally stable i.s.L.</li>

      </ul>

      <p>An initial condition near a fixed point that is stable in the sense of
      Lyapunov may never reach the fixed point (but it won't diverge), near an
      asymptotica