Schwarzian derivative in unimodal dynamics

The first return map of a C-3 unimodal map to a neighbourhood of the critic al point is conjugated by a real-analytic diffeomorphism to a map with nega tive Schwarzian derivative. Consequently we obtain the classification of th e metric attractors for smooth unimodal maps with non-degenerate critical p oint. (C) 2001 Academie des sciences/Editions scientifiques et medicales El sevier SAS.