Monodromy and stability of a class of degenerate planar critical points

A. Gasull, V. Mañosa, F. Mañosas

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18 Citations (Scopus)

Abstract

Necessary and also sufficient monodromy conditions for a large class of degenerate singular points of planar differential systems are given. For these systems, we also find a computable expression of the principal term of the asymptotic expansion of the return map, which gives the stability of the point. © 2002 Elsevier Science (USA).
Original languageEnglish
Pages (from-to)169-190
JournalJournal of Differential Equations
Volume182
DOIs
Publication statusPublished - 10 Jun 2002

Keywords

  • Blow-up procedure
  • Center focus problem
  • Degenerate critical point
  • Monodromy problem
  • Stability

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