New Advances on the Lyapunov Constants of Some Families of Planar Differential Systems

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Abstract

© 2019, Springer Nature Switzerland AG. This note presents some advances regarding the Lyapunov constants of some families of planar polynomial differential systems, as a first step toward the resolution of the center and cyclicity problems. First, a parallelization approach is computationally implemented to achieve the 14th Lyapunov constant of the complete cubic family. Second, a technique based on interpolating some specific quantities so as to reconstruct the structure of the Lyapunov constants is used to study a Kukles system, some fifth-degree homogeneous systems, and a quartic system with two invariant lines.
Original languageEnglish
Title of host publicationTrends in Mathematics
Pages161-167
Number of pages6
Volume11
ISBN (Electronic)2297-024X
DOIs
Publication statusPublished - 1 Jan 2019

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