Geodesic
Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation
Electronic journal of differential equations, Tome 2011 (2011)
We give affirmative answers to two questions concerning the existence of centers on local center manifolds at equilibria of a quadratic system in the three dimensional space. These questions were posed by Dias and Mello [1] when studying a scalar third-order differential equation.
Classification : 34C40, 34C15, 34C60, 34C25
Keywords: center, center manifold, invariant algebraic surface, quadratic system 
@article{EJDE_2011__2011__a96,
     author = {Da Cunha,  Warley Ferreira and Dias,  Fabio Scalco and Mello,  Luis Fernando},
     title = {Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1235.34095},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a96/}
}
TY  - JOUR
AU  - Da Cunha,  Warley Ferreira
AU  - Dias,  Fabio Scalco
AU  - Mello,  Luis Fernando
TI  - Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation
JO  - Electronic journal of differential equations
PY  - 2011
VL  - 2011
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a96/
LA  - en
ID  - EJDE_2011__2011__a96
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%0 Journal Article
%A Da Cunha,  Warley Ferreira
%A Dias,  Fabio Scalco
%A Mello,  Luis Fernando
%T Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a96/
%G en
%F EJDE_2011__2011__a96
Da Cunha,  Warley Ferreira; Dias,  Fabio Scalco; Mello,  Luis Fernando. Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a96/