Limit cycles of discontinuous piecewise linear systems separated by a non-regular line and formed by an arbitrary linear system and a linear system without equilibrium points.

Authors

  • Ines Tababouchet Department of Mathematics, University Mohamed El Bachir El Ibrahimi of Bordj Bou Arréridj
  • Aziza Berbache Department of Mathematics, University Mohamed El Bachir El Ibrahimi of Bordj Bou Arr´eridj, 34265 El Anasser, Algeria.

Abstract

 The main objective of this paper is the study of the maximum number of limit cycles of discontinuous piecewise differential systems formed by an arbitrary linear system and a linear system without equilibrium points separated by a non-regular straight line. We show that these discontinuous piecewise linear differential systems can have at most two limit cycles, and this upper bound is
 reached.

Downloads

Published

2026-02-28

Issue

Vol. 33 No. 1 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Ines Tababouchet, Aziza Berbache

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Limit cycles of discontinuous piecewise linear systems separated by a non-regular line and formed by an arbitrary linear system and a linear system without equilibrium points. (2026). Nonlinear Studies, 33(1), 73-82. https://nonlinearstudies.com/index.php/nonlinear/article/view/3761