TY - JOUR
T1 - Characterization of global centers by the monodromy at infinity
AU - García, Isaac A.
AU - Giné, Jaume
AU - Llibre, Jaume
N1 - Publisher Copyright:
© 2024
PY - 2025/3
Y1 - 2025/3
N2 - In this work we focus in the family of real planar polynomial vector fields of arbitrary degree. We are interested in to characterize when a (local) center singularity of these vector fields becomes a global center, that is, its period annulus foliates the punctured real plane. The characterization of any global center is done by blowing-down the polycycle at infinity into a monodromic singular point.
AB - In this work we focus in the family of real planar polynomial vector fields of arbitrary degree. We are interested in to characterize when a (local) center singularity of these vector fields becomes a global center, that is, its period annulus foliates the punctured real plane. The characterization of any global center is done by blowing-down the polycycle at infinity into a monodromic singular point.
KW - Center
KW - Global center
KW - Polynomial differential systems
UR - http://www.scopus.com/inward/record.url?scp=85212880999&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/665579e4-780b-3415-ba28-d62db184733d/
U2 - 10.1016/j.cnsns.2024.108543
DO - 10.1016/j.cnsns.2024.108543
M3 - Article
SN - 1007-5704
VL - 142
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
M1 - 108543
ER -