  We propose, within the context of the dynamics of a holomorphic germ in CI^N,
a definition of 'attracting basin' of a fixed point. We prove that the inverse
germ of an endomorphism of CI^N with a repulsive fixed point in 0, satisfying a
supplementary technical hypothesis, admits an attracting basin which could be
described as a Fatou-Bieberbach domain 'with many leaves'.
