Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line

Shimin Li, Jaume Llibre

Research output: Contribution to journalArticleResearch

7 Citations (Scopus)

Abstract

© 2018 Elsevier Inc. This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given.
Original languageEnglish
Pages (from-to)8094-8109
JournalJournal of Differential Equations
Volume266
DOIs
Publication statusPublished - 5 Jun 2019

Keywords

  • Limit cycle
  • Phase portraits
  • Piecewise linear differential system

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