Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 42, pp. 1-19.

Title: Classification of boundary-equilibria for two-dimensional continuous piecewise linear systems with two intersecting switching lines

Authors: Xin Yang (Central South Univ., Changsha, Hunan, China)
         Jueliang Zhou (Central South Univ., Changsha, Hunan, China)

Abstract:
In this article, we  classify the boundary-equilibria of 
two-dimensional continuous piecewise linear systems with two 
intersecting switching lines. We present local phase portraits and 
indices of boundary-equilibria at the intersection point of two 
switching lines with more abundant dynamics.

Submitted November 22, 2024. Published April 21, 2025.
Math Subject Classifications: 34A36, 34C05.
Key Words: Piecewise linear system; switching line; boundary-equilibrium; phase portrait; stability.