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Kukles Systems of Degree Three with Global Centers

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Author(s):
Dias, Fabio Scalco ; Mello, Luis Fernando ; Valls, Claudia
Total Authors: 3
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 54, n. 4, p. 15-pg., 2023-12-01.
Abstract

A global center of a vector field in the plane is an equilibrium point such that the whole plane with the exception of the equilibrium point is filled with periodic orbits. We classify all Kukles systems of degree three that have global centers. (AU)

FAPESP's process: 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision
Grantee:Farid Tari
Support Opportunities: Research Projects - Thematic Grants