Dynamics Analysis of Llibre-Menezes Piecewise Linear Systems

• Zhang, Yuhong ^[1] ; Yang, Xiao-Song ^[1]
  1. [1] Huazhong University of Science and Technology

     Huazhong University of Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
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• Resumen

  • 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.