Phase portraits of two classes of Liénard equations
Li, Jie (Sichuan University. Department of Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2023
Abstract:	In this paper, we classify the phase portraits in the Poincaré disc of the Liénard equation x¨ + f(x) x˙ + g(x) = 0, with either f(x) = 0 and g(x) is a quadratic or cubic polynomial, or f(x) is a quadratic or cubic polynomial and g(x) = 0.
Grants:	European Commission 777911 Agencia Estatal de Investigación PID2019-104658GB-I00
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Liénard system ; First integral ; Phase portrait ; Poincaré disc
Published in:	Boletin de la Sociedad Matematica Mexicana, Vol. 29, Issue 1 (March 2023) , art. 9, ISSN 2296-4495

DOI: 10.1007/s40590-022-00479-8

Postprint 20 p, 1.4 MB

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