Simultaneity of centres in Zq-equivariant systems

Jaume Giné; Jaume Llibre; Claudia Valls

doi:https://doi.org/10.1098/rspa.2017.0811

Simultaneity of centres in Zq-equivariant systems

Jaume Giné, Jaume Llibre, Claudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

8 Citations (Scopus)

Abstract

© 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 language	English
Article number	20170811
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	474
Issue number	2213
DOIs	https://doi.org/10.1098/rspa.2017.0811
Publication status	Published - 1 May 2018

Keywords

Centre-focus problem
Equivariant system
First integrals
Simultaneity of centres

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https://doi.org/10.1098/rspa.2017.0811

https://ddd.uab.cat/record/221302

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AB - © 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.

KW - Centre-focus problem

KW - Equivariant system

KW - First integrals

KW - Simultaneity of centres

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Simultaneity of centres in Zq-equivariant systems

Abstract

Keywords

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