Centers and Uniform Isochronous Centers of Planar Polynomial Differential Systems

Jaume Llibre, Rafael Ramírez, Valentín Ramírez, Natalia Sadovskaia

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

© 2018, Springer Science+Business Media, LLC, part of Springer Nature. For planar polynomial vector fields of the form (-y+X(x,y))∂∂x+(x+Y(x,y))∂∂y,where X and Y start at least with terms of second order in the variables x and y, we determine necessary and sufficient conditions under which the origin is a center or a uniform isochronous centers.
Original languageEnglish
Pages (from-to)1295-1310
JournalJournal of Dynamics and Differential Equations
Volume30
Issue number3
DOIs
Publication statusPublished - 1 Sep 2018

Keywords

  • Center-focus problem
  • Polynomial planar differential system
  • Uniform isochronous centers

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