Geodesic
Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation
Electronic journal of differential equations, Tome 2011 (2011)
Zbl
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 
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/
@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
ER  - 
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%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