  <figure id="attractivity">
        <img width="60%" src="figures/exercises/attractivity_vs_stability.svg"/>
        <figcaption>Phase diagram of a two-dimensional system.</figcaption>
      </figure>
  
    </example>

    <p>Take a minute to examine the vector field of this to make sure you
    understand.  This example may seem contrived, but we will soon see this
    same phenomenon happen in practice when we introduce the energy-shaping
    swing-up controller for the pendulum in the next chapter.</p>