Roughly speaking, using the method of describing function one checks "the stability" of limit cycles (oscillations) in a nonlinear system. In this case,"stable" limit
cycle could mean a (constant) oscillation.
Again, the "stability" mens, in this context, the limit cycle is stable (not the system!). In other words, there exists a (stable) limit cycle (oscillation). There is need to re-study describing function method.