Centers for Trigonometric Abel Equations

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Abstract

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. © 2011 Springer Basel AG.
Original languageEnglish
Pages (from-to)19-37
JournalQualitative Theory of Dynamical Systems
Volume11
DOIs
Publication statusPublished - 1 Dec 2012

Keywords

  • Centers
  • Moments
  • Periodic orbits
  • Persistent centers
  • Trigonometric Abel equation

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