Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)

Date:	2022
Abstract:	We provide a sharp upper bound for the number of limit cycles of the generalized Liénard differential systems x˙ = y + axn + bxk, y˙ = cxm where n, k, m are positive integers, 1 < n< k and a, b, c∈ R with bc≠ 0. We also provide examples realizing the upper bounds.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Liénard equations ; Limit cycles ; Periodic orbits
Published in:	Boletin de la Sociedad Matematica Mexicana, Vol. 28, Issue 2 (July 2022) , art. 41, ISSN 2296-4495

DOI: 10.1007/s40590-022-00433-8

Postprint 11 p, 634.0 KB

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