Phase portraits of continuous piecewise linear Liénard differential systems with three zones

Shimin Li, Jaume Llibre

Research output: Contribution to journalArticleResearch

3 Citations (Scopus)

Abstract

© 2019 Elsevier Ltd Phase portraits are an invaluable tool in studying differential systems. Most of known results about global phase portraits are related to the smooth differential systems. This paper deals with a class of planar continuous piecewise linear Liénard differential systems with three zones separated by two vertical lines without symmetry. We provide the topological classification of the phase portraits in the Poincaré disc for systems having a unique singular point located in the middle zone.
Original languageEnglish
Pages (from-to)149-157
JournalChaos, Solitons and Fractals
Volume120
DOIs
Publication statusPublished - 1 Mar 2019

Keywords

  • Limit cycle
  • Liénard system
  • Phase portrait
  • Piecewise linear differential system

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