2 papers
math.DS2022
Cyclicity of Rigid Centers on Center Manifolds of Three-dimensional systems
Claudio Pessoa, Lucas Queiroz, Jarne D. Ribeiro
We work with polynomial three-dimensional rigid differential systems. Using the Lyapunov constants, we obtain lower bounds for the cyclicity of the known rigid centers on their cen…
math.DS2021
Lower bounds for the cyclicity of centers of quadratic three-dimensional systems
Luiz F. S. Gouveia, Lucas Queiroz
We consider quadratic three-dimensional differential systems having a Hopf singular point. We study the cyclicity when the singular point is a center on the center manifold using h…