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

Iván Sánchez-Sánchez, Joan Torregrosa

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Resum

© 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.
Idioma originalAnglès
Títol de la publicacióTrends in Mathematics
Pàgines161-167
Nombre de pàgines7
Volum11
ISBN (electrònic)2297-024X
DOIs
Estat de la publicacióPublicada - 1 de gen. 2019

Sèrie de publicacions

NomTrends in Mathematics
Volum11

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