  In this paper an approach to generate hidden attractors based on piecewise
linear (PWL) systems is studied. The approach consists of the coexistence of
self-excited attrators and hidden attractors, i.e., the equilibria of the
system are immersed in the basin of attraction of the seft-excited attractors,
so hidden attractors appear around these self-excited attractors. The approach
starts by generating a double-scroll attractor based on two equilibria
presented heteroclinic orbits. Then, two equilibria are added to the system, so
biestability is generated by displaying two self-excited attractor. In this
paper we show that hidden attractors arise as a consequence of the rupture of
trajectories that resemble heteroclinic orbits at a larger scale. Therefore,
multistability appears naturally as an interesting phenomenon present in this
class of dynamical systems via hidden attractors and self-excited attractors.
The study suggests the feasibility of the geometric design of new classes of
multistable systems with coexistence of the two classes of attractors or even
multistable systems without equilibria at all.
