Resumen de Dynamics Analysis of Llibre-Menezes Piecewise Linear Systems
Yuhong Zhang, Xiao-Song Yang
This paper presents a qualitative analysis of discontinuous Llibre-Menezes piecewise linear systems. We obtain the explicit parameter conditions for the existence of limit cycles and the stable sliding segments. In addition, we prove that if a Llibre-Menezes piecewise system is continuous, then this system has a global asymptotically stable equilibrium point. Some examples are given to illustrate the main results.
