Linear type global centers of linear systems with cubic homogeneous nonlinearities

Johanna D. García-Saldaña, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)

Abstract

© 2019, Springer-Verlag Italia S.r.l., part of Springer Nature. A center p of a differential system in R2 is global if R2\ { p} is filled of periodic orbits. It is known that a polynomial differential system of degree 2 has no global centers. Here we characterize the global centers of the differential systems x˙=ax+by+P3(x,y),y˙=cx+dy+Q3(x,y),with P3 and Q3 homogeneous polynomials of degree 3, and such that the center has purely imaginary eigenvalues, i.e. a linear type center.
Original languageEnglish
JournalRendiconti del Circolo Matematico di Palermo
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Center
  • Cubic polynomial differential system
  • Global center

Fingerprint Dive into the research topics of 'Linear type global centers of linear systems with cubic homogeneous nonlinearities'. Together they form a unique fingerprint.

Cite this