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Abstract. We consider a one-parameter family of Hénon maps on R 2 given by fa(x, y) = (y, y 2 +ax) where 0 < a < 1, and provide a complete description of the dynamics of fa. In particular, we show that each fa has precisely two periodic points α and p, where α is an attracting fixed point, and p is a saddle fixed point. Moreover, the basin boundary of α coincides with the stable manifold of p. As a consequence, we obtain that each fa is a Morse-Smale diffeomorphism.

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This article brings an approximation theorem for sections of Oka pairs of sheaves of homogeneous spaces (such sheaves were introduced in E15]). Among the applications are: an Oka principle for the approximation of a generating system for a coherent analytic sheaf and an Oka principle for the approximation of a holomo~phic fibre bundle with homogeneous fibre (without a structure group). Together with a homotopy theorem E15] for Oka pairs of sheaves of homogeneous spaces, a theoretical unification is thus given for various ~n~own results on the Oka principle E 12,20,6,7].EINLEITUNG. Die vorliegende Arbeit f~hrt die Theorie der