On the Formal Integrability Problem for Planar Differential Systems

Giné, Jaume; Algaba, Antonio; García, Cristóbal

doi:https://doi.org/10.1155/2013/482305

Visualitza/Obre

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Data de publicació

2013

Autor/a

Giné, Jaume

Algaba, Antonio

García, Cristóbal

Citació recomanada

Giné, Jaume; Algaba, Antonio; García, Cristóbal; . (2013) . On the Formal Integrability Problem for Planar Differential Systems. Abstract And Applied Analysis, 2013, vol. 2013. https://doi.org/10.1155/2013/482305.

Resum

We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results obtained, we consider some families of analytic differential systems in C2, and imposing the formal integrability we find resonant centers obviating the computation of some necessary conditions.