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Linearizability of 2:−3 Resonant Systems with Quadratic Nonlinearities
2021
Symmetry
In this paper, the linearizability of a 2:−3 resonant system with quadratic nonlinearities is studied. We provide a list of the conditions for this family of systems having a linearizable center. The conditions for linearizablity are obtained by computing the ideal generated by the linearizability quantities and its decomposition into associate primes. To successfully perform the calculations, we use an approach based on modular computations. The sufficiency of the obtained conditions is proven
doi:10.3390/sym13081510
fatcat:vbcomexn2ve7zf4kqu4dloi2d4