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Blow-up method for linearizability of resonant differential systems [Elektronski vir]
Ferčec, Brigita ; Žulj, Maja, 1982- ; Giné, Jaume
In this paper, the linearizability of a p :−q resonant differential system is studied. First, we describe a method to compute the necessary conditions for linearizability based on blow-up ...transformation. Using the method, we compute necessary linearizability conditions for a family of 1 :−3 resonant system with quadratic nonlinearities. The sufficiency of the obtained conditions is proven either by the Darboux linearization method or using the recursive procedure after blow-up transformation.
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