© 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.
|Journal||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Publication status||Published - 1 May 2018|
- Centre-focus problem
- Equivariant system
- First integrals
- Simultaneity of centres