Analytic integrability around the origin of certain differential system

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2022
Author
Giné, Jaume
Valls, Claudia
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Giné, Jaume; Valls, Claudia; . (2022) . Analytic integrability around the origin of certain differential system. Journal of Applied Analysis and Computation, 2022, vol. 12, núm. 1, p. 1-16. https://doi.org/10.11948/20200406.
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Abstract
In this work we consider the polynomial differential system x˙=−y+xyn−1, y˙=x+ayxn−1, where a∈R and n≥2 with n∈N. This system is a certain generalization of the classical Liénard system. We study the center problem and consequently the analytic integrability problem for such family around the origin for any value of n.
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http://hdl.handle.net/10459.1/72936
DOI
https://doi.org/10.11948/20200406
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Journal of Applied Analysis and Computation, 2022, vol. 12, núm. 1, p. 1-16
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cc-by (c) Jaume Giné, Claudia Valls, 2022
Except where otherwise noted, this item's license is described as cc-by (c) Jaume Giné, Claudia Valls, 2022