Global Dynamics of a Planar Piecewise Linear Refracting System of Node-Node Types

In this paper, we study global dynamics of a planar piecewise linear refracting system with a straight line of separation of node-node type, improper node-improper node type and improper node-node type, respectively. We obtain the conditions of the uniqueness and nonexistence of limit cycles of the refracting system and provide classifications of the topological phase portraits in the Poincaré disk.