Simultaneity of centres in Zq-equivariant systems

Jaume Giné, Jaume Llibre, Claudia Valls

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8 Citations (Scopus)


© 2018 The Author(s) Published by the Royal Society. All Rights Reserved. We study the simultaneous existence of centres for two families of planar Zq-equivariant systems. First, we give a short review about Zq-equivariant systems. Next, we present the necessary and sufficient conditions for the simultaneous existence of centres for a Z2-equivariant cubic system and for a Z2- equivariant quintic system.
Original languageEnglish
Article number20170811
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2213
Publication statusPublished - 1 May 2018


  • Centre-focus problem
  • Equivariant system
  • First integrals
  • Simultaneity of centres


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