The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable

It is assumed that the equilibrium state of the relaxation system
$$ \varepsilon\dot x=f(x,y), \qquad \dot y=g(x,y,\mu), $$
where $x\in R^n$ and $y\in R$, passes generically through a point of discontinuity as $\mu$ varies. Under this condition stable duck cycles and cycles arising in a neighborhood of the equilibrium state are constructed.