TITLE: Quasi-periodic H\'enon-like attractors in 3D diffeomorphisms (Submitted to the Proceedings of ENOC 2005) AUTHORS: Henk W. Broer^(1), Carles Sim\'o^(2) and Renato Vitolo^(3) \begin{document} (1) Dept. of Mathematics, University of Groningen, Blauwborgje 3, 9747 AC Groningen, The Netherlands (2) Dept. de Matem\`atica Aplicada i An\`alisi, Universitat de Barcelona, Gran Via, 585, 08007 Barcelona, Spain (3) Dip. di Mat. e Informatica, Universit\`a di Camerino, via Madonna delle Carceri, 62032 Camerino, Italy E-mail: broer@math.rug.nl, carles@maia.ub.es, renato.vitolo@unicam.it ABSTRACT: The H\'enon family of planar maps is considered driven by the Arnol$'$d family of circle maps. This leads to a five-parameter family of skew product systems on the solid torus. The dynamics of this skew product family and its perturbations are studied by numerical means. In certain parameter domains H\'enon-like and quasi-periodic H\'enon-like strange attractors are detected. The persistence properties of these attractors under perturbation of the skew-product structure of the map are discussed.