## Typical limit sets of critical points for smooth interval maps.(English)Zbl 0958.37011

The paper deals with $$C^r$$-structurally stable maps for $$r=2$$ and continues previous research of the authors in this direction. More precisely, the authors prove that for a dense set of maps the limit set of every critical point is minimal. One of the main tools the authors use are so-called chains, which were introduced by Lyubich for interval maps with negative Schwarzian.

### MSC:

 37E05 Dynamical systems involving maps of the interval 37C20 Generic properties, structural stability of dynamical systems

### Keywords:

structurally stable maps; Schwarzian; Lyubich map
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