Xin Yang, Jueliang Zhou
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.
DOI: 10.58997/ejde.2025.42
Show me the PDF file (1170 KB), TEX file for this article.
 |
Xin Yang School of Mathematics and Statistics MNP-LAMA, Central South University Changsha, Hunan 410083, China email: xinyang@csu.edu.cn |
|---|---|
 |
Jueliang Zhou School of Mathematics and Statistics MNP-LAMA, Central South University Changsha, Hunan 410083, China email: zhou_jueliang@csu.edu.cn |
Return to the EJDE web page