Counting configurations of limit cycles and centers

Armengol Gasull, Antoni Guillamon, Víctor Mañosa Fernández

Producció científica: Contribució a una revistaArticleRecercaAvaluat per experts

Resum

We present several results on the determination of the number and distribution of limit cycles or centers for planar systems of differential equations. In most cases, the study of a recurrence is one of the key points of our approach. These results include the counting of the number of configurations of stabilities of nested limit cycles, the study of the number of different configurations of a given number of limit cycles, the proof of some quadratic lower bounds for Hilbert numbers and some questions about the number of centers for planar polynomial vector fields.
Idioma originalEnglish
Pàgines (de-a)0078-96
Nombre de pàgines19
RevistaBuletinul Academiei de Stiinte a Republicii Moldova. Matematica
Volum101
Número1
DOIs
Estat de la publicacióPublicada - 2023

Fingerprint

Navegar pels temes de recerca de 'Counting configurations of limit cycles and centers'. Junts formen un fingerprint únic.

Com citar-ho