4.4 Article

On the analytic commutator for ?-& OHM; differential systems

Publisher

UNIV SZEGED, BOLYAI INSTITUTE
DOI: 10.14232/ejqtde.2023.1.25

Keywords

analytic commutator; isochronous center; A-i) system; center conditions

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In this paper, the necessary and sufficient conditions for A-i) differential systems to have an analytic commutator are provided. These conditions are then used to determine whether the origin point of the A-i) differential systems is an isochronous center.
In this paper, we give the necessary and sufficient conditions for some A-i) differential systems to have an analytic commutator, use these properties to judge the origin point of the A-i) differential systems to be an isochronous center.

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