Centers for trigonometric Abel equations

In this paper we introduce the notion of strongly persistent centers, together with the condition of the annulation of some generalized moments, for Abel differential equations with trigonometric coefficients as a natural candidate to characterize the centers of composition type for these equations....

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Detalles Bibliográficos
Autores: Cimà, Anna|||0000-0003-0256-518X, Gasull, Armengol|||0000-0002-1719-8231, Mañosas, Francesc|||0000-0003-2535-0501
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150523
Acceso en línea:https://ddd.uab.cat/record/150523
https://dx.doi.org/urn:doi:10.1007/s12346-011-0054-9
Access Level:acceso abierto
Palabra clave:Periodic orbits
Centers
Trigonometric Abel equation
Moments
Persistent centers
Descripción
Sumario:In this paper we introduce the notion of strongly persistent centers, together with the condition of the annulation of some generalized moments, for Abel differential equations with trigonometric coefficients as a natural candidate to characterize the centers of composition type for these equations. We also recall several related concepts and discuss the differences between the trigonometric and the polynomial cases.