Geodesic
Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a96/}
}
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%J Electronic Journal of Differential Equations
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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/