Centers for a class of generalized quintic polynomial differential systems

Jaume Giné, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

We characterize the centers of the planar polynomial differential systems of degree d≥5 odd that in complex notation writes asz=iz+( zz̄)d-52(Az5+Bz4z̄+ Cz3z̄2+Dz2z̄3+Ezz̄ 4+Fz̄5),where A,B,C,D,E,FC and either A=Re(E)=0, or A=Im(E)=0, or Re(A)=E=0, or Im(A)=E=0. © 2014 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)187-195
JournalApplied Mathematics and Computation
Volume242
DOIs
Publication statusPublished - 1 Sep 2014

Keywords

  • Nondegenerate center
  • Poincaré- Lyapunov constants
  • Polynomial differential systems

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