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Simultaneity of centres in ℤ q -equivariant systems.
We study the simultaneous existence of centres for two families of planar Z q -equivariant systems. First, we give a short review about Z q -equivariant systems. Next, we present the necessary and sufficient conditions for the simultaneous existence of centres for a Z 2 -equivariant cubic system and for a Z 2 -equivariant quintic system.
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