Generation of Multistability through Unstable Systems

The main aim of this paper is to generate multistability from a type of unstable systems which 
have all their roots in the right half of the complex plane. For the realization of this, we use a system of linear 
differential equations that consists of two parameters. First we use an instability parameter to transform an 
unstable system to a type of system capable of generating attractors by means of a piecewise linear function. 
Then we use another bifurcation parameter to change from multiscroll attractors in a mono-stable state into 
several single-scroll atractors in multi-stable states.