Orbitally symmetric systems with applications to planar centers
Bastos, Jefferson L. R. (Universidade Estadual Paulista "Júlio de Mesquita Filho". Departamento de Matemática)
Buzzi, Claudio (Universidade Estadual Paulista "Júlio de Mesquita Filho". Departamento de Matemática)
Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2021
Abstract:	We present a generalization of the most usual symmetries in differential equations known as the time-reversibility and the equivariance ones. We check that the typical properties are also valid for the new definition that unifies both. With it, we are able to present new families of planar polynomial vector fields having equilibrium points of center type. Moreover, we provide the highest lower bound for the local cyclicity of an equilibrium point of polynomial vector fields of degree 6, M(6) ≥ 48.
Grants:	Agencia Estatal de Investigación MTM2016-77278-P 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:	Symmetry ; Reversibility ; Equivariance ; Involution ; Centers ; Local cyclicity ; Limit cycles
Published in:	Communications on pure & applied analysis, Vol. 20, Issue 10 (October 2021) , p. 3319-3346, ISSN 1553-5258

DOI: 10.3934/cpaa.2021107

Postprint 28 p, 1.4 MB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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