Abstract: We study the behavior under iteration of a three parameters family of piecewise linear maps of the plane. Our purpose is to study a particular kind of bifurcation for this kind of maps. We wish to show that this family possesses interesting properties. Coexistence of several attractors, and characteristics of intermingled basins of different attractors are obtained.
Keywords: Piecewise linear map, attractor, nonconservative system, intermingled basins.