On integrability and linearizability of persistent p: − q resonant systems

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On integrability and linearizability of persistent p: − q resonant systems

Žulj, Maja; Ferčec, Brigita; Mencinger, Matej

Journal of mathematical analysis and applications, 11/2022, Volume: 515, Issue: 1

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The notion of persistent center has recently been extended to a linearizable persistent centers. We define the linearizability of persistent p:−q resonant center and explain the relation between p:−q resonant system and the corresponding persistent p:−q resonant system in terms of integrability and linearizability problems. We demonstrate the obtained results for persistent p:−q resonant systems with quadratic nonlinearities for p=1, q=2 and p=2, q=3.

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Žulj, Maja | Ferčec, Brigita | Mencinger, Matej

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