is a point 
that does not change with
time, Equilibria are also known as fixed points, stationary points, or steady-state solutions. A fixed point of a map is an orbit which returns to itself after one iteration,
We will tend to use the terminology ``fixed point'' when referring to a map and ``equilibrium'' when referring to a flow. The theory for equilibria and fixed points is very similar. Keep in mind, though, that a fixed point of a map could come from a periodic orbit of a flow. This section briefly outlines the theory for flows. The corresponding theory for maps is completely analogous and can be found, for instance, in Rasband [6].
