ward
      $\pm \infty$. There are no other possibilities.  Oscillations, for
      example, are impossible. Graphical analysis is a fantastic analysis tool
      for many first-order nonlinear systems (not just pendula); as illustrated
      by the following example: </p>

      <example><h1>Nonlinear autapse</h1> 
        <p></p>Consider the following system: \begin{equation} \dot{x} + x =
        \tanh(w x), \end{equation} which is plotted below for two values of $w$.
        It's convenient to note that