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Simultaneity of centres in ℤ -equivariant systems
Jaume Giné1, Jaume Llibre2, Claudia Valls3
1Departament de Matemàtica, Inspires Research Centre, Universitat de Lleida, Avda. Jaume II, 69; 25001 Lleida, Catalonia, Spain.
Abstract:
We study the simultaneous existence of centres for two families of planar -equivariant systems. First, we give a short review about -equivariant systems. Next, we present the necessary and sufficient conditions for the simultaneous existence of centres for a -equivariant cubic system and for a -equivariant quintic system.
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