JOURNAL ARTICLE

Limit Cycles in a Class of Continuous–Discontinuous Piecewise Linear Differential Systems with Three Zones.

  • Published In: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, v. 34, n. 15. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Berbache, Aziza 3 of 3

Abstract

In this paper, we investigate the existence of limit cycles in piecewise linear systems separated by two parallel straight lines, where in one of these straight lines, the piecewise differential system is continuous, and in the other, it is discontinuous. Based on the methods of Poincaré map and first integral, we prove that these systems can have at most two limit cycles. Additionally, taking into account the type of singular points in the zones, we present examples with one or two limit cycles for all possible combinations. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. 2024/12, Vol. 34, Issue 15, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2024
  • ISSN:0218-1274
  • DOI:10.1142/S021812742450192X
  • Accession Number:181578990
  • Copyright Statement:Copyright of International Journal of Bifurcation & Chaos in Applied Sciences & Engineering is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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