I hereby define Cyclonym to be a special type of portmanteau (blend word) or compound name (a name formed from multiple names) that loops/repeates indefinitely.
GSS (Go Simon Sunatori) + MAMP (Marie Andrée Michèle Provencher)
Simon + Miseil
= SiMiS + MiSiM
= SiMiSiMiSiMiS
GSS (Go Simon Sunatori) + OMM (Olesya Mikhailovna Musikhina)
Simon + Olesia
= SimOleS + OleSimO
= SimOleSimOleSimOleS
GSS (Go Simon Sunatori) + OMS (Olesia Mikhailovna Sunatori)
Simon + Olesia
= SimOleS + OleSimO
= SimOleSimOleSimOleS
GSS (Go Simon Sunatori) + NSS (Natasia Svetlana Sunatori)
Simon + Natasia
= SimoNataS + NataSimoN
= SimoNataSimoNataSimoNataS
GSS (Go Simon Sunatori) + NSS (Nansi Sofia Sunatori)
Simon + Nansi
= SimoNanS + NanSimoN
= SimoNanSimoNanSimoNanS