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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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5990693 | PMC |
| http://dx.doi.org/10.1098/rspa.2017.0811 | DOI Listing |
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