Center conditions to find certain degenerate centers with characteristic directions

Antonio Algaba, Cristóbal García and Jaume Giné

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 215, issue C, 628-638

Abstract: We consider the two-dimensional autonomous systems of differential equations where the origin is a monodromic degenerate singular point, i.e., with null linear part. In this work we give two heuristic procedures to obtain some center conditions (perhaps not necessary) for certain degenerate centers at the origin although they have characteristic directions.

Keywords: Nonlinear differential equations; Monodomic singular points; Center problem (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:215:y:2024:i:c:p:628-638

DOI: 10.1016/j.matcom.2023.07.006

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