On the mechanisms for producing linear type centers in polynomial differential systems

In this paper we study the different mechanisms that give rise to linear type centers for polynomial differential systems. The known mechanisms are the algebraic reversibility and the Liouville integrability. In this paper are discussed such mechanisms and established some open questions. The known me...

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Detalles Bibliográficos
Autores: Giné, Jaume|||0000-0001-7109-2553, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:222633
Acceso en línea:https://ddd.uab.cat/record/222633
Access Level:acceso abierto
Palabra clave:Analytic integrability
Center problem
Polynomial Cherkas differential systems
Descripción
Sumario:In this paper we study the different mechanisms that give rise to linear type centers for polynomial differential systems. The known mechanisms are the algebraic reversibility and the Liouville integrability. In this paper are discussed such mechanisms and established some open questions. The known mechanisms for the nilpotent and degenerate centers are also summarized.