A class of differential systems of even degree with exact non-algebraic limit cycles

Autor:	Abdelkrim Kina, Ahmed Bendjeddou, Aziza Berbache
Rok vydání:	2020
Předmět:	Class (set theory) Polynomial Pure mathematics Degree (graph theory) General Mathematics Limit cycle Limit (mathematics) Algebraic number Type (model theory) Differential systems Mathematics
Zdroj:	Studia Universitatis Babes-Bolyai Matematica. 65:403-410
ISSN:	2065-961X 0252-1938
Popis:	Up until now all the polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree odd. Here we show that already that there are polynomial systems of degree even has an explicit limit cycle which is not algebraic. To our knowledge, there are no such type of examples in the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4d5978584f58cc0f54d3ba83cab549b0 https://doi.org/10.24193/subbmath.2020.3.08 Zobrazit plný text záznamu