Web of Science: 6 citations, Scopus: 6 citations, Google Scholar: citations
Phase portraits of continuous piecewise linear Liénard differential systems with three zones
Li, Shimin (Guangdong University of Finance and Economics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date: 2019
Abstract: 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.
Grants: Ministerio de Economía y Competitividad MTM2016-77278-P
Ministerio de Economía y Competitividad MDM-2014-0445
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617
European Commission 777911
Rights: Tots els drets reservats.
Language: Anglès
Document: Article ; recerca ; Versió acceptada per publicar
Subject: Limit cycle ; Piecewise linear differential system ; Phase portrait ; Liénard system
Published in: Chaos, solitons and fractals, Vol. 120 (March 2019) , p. 149-157, ISSN 0960-0779

DOI: 10.1016/j.chaos.2018.12.037


Postprint
19 p, 420.8 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2019-05-16, last modified 2022-09-03



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