Global normalizations for centers of planar vector fields
Carregando...
Arquivos
Data
2025-01-15
Orientador
Título da Revista
ISSN da Revista
Título de Volume
Editor
Campus
Curso
Resumo
This paper addresses a question posed by Carmen Chicone and proves that an analytic vector field with a
non-degenerate global center can be transformed into a classical Newtonian equation $V'' =−V(x).$
Additionally, we establish a global Poincaré normal form for planar centers. We also demonstrate the
global analytic integrability of the equation $x''= F(u, u')$ , where $F(u, v) = F(u,−v)$, under some additional
conditions.