Linearizability of 2:−3 Resonant Systems with Quadratic Nonlinearities

Maja Žulj, Brigita Ferčec, Matej Mencinger
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
more » ... by several methods, mainly by the method of Darboux linearization.
doi:10.3390/sym13081510 fatcat:vbcomexn2ve7zf4kqu4dloi2d4