On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems
Bao, Yu (Sun Yat-Sen University)
Li, Shimin (Hangzhou Normal University. Department of Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Zhao, Yulin (Sun Yat-Sen University)

Date:	2025
Abstract:	This paper deals with two classes of polynomial differential systems that are generalized rigid systems, i. e. differential systems whose orbits rotate with a constant angular velocity. We give bounds for the maximum number of limit cycles of such polynomial differential systems provided by the averaging theory of first-order.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Limit cycle ; Rigid differential system
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 35, Issue 6 (May 2025) , art. 2550070, ISSN 1793-6551

DOI: 10.1142/S0218127425500701

Available from: 2026-05-31 Postprint

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