@article{10902/38354,
year = {2025},
month = {12},
url = {https://hdl.handle.net/10902/38354},
abstract = {Let E be a real analytic vector field with an elementary isolated singularity at 0ER3 and eigenvalues ±bi,c with b,cER and b( no=) 0. We prove that all cycles of o in a sufficiently small neighborhood of 0, if they exist, are contained in the union of finitely many subanalytic invariant surfaces, each one entirely composed of a continuum of cycles. In particular, we solve Dulac's problem for such vector fields, i.e., finiteness of limit cycles.},
organization = {Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.},
publisher = {Springer},
publisher = {Journal of Dynamics and Differential Equations, 2025, 37(4), 2981-3023},
title = {Surfaces with central configuration and Dulac's problem for a three dimensional isolated Hopf singularity},
author = {Corral Pérez, Nuria and Martín-Vega, María and Sanz Sánchez, Fernando},
}