Geodesic
Transformation to Liénard form
Electronic journal of differential equations, Tome 2000 (2000)
We show that certain two-dimensional differential systems can be transformed to a system of Lienard type. This enables known criteria for the existence of a centre for Lienard systems to be exploited, so extending the range of techniques which are available for proving that conditions which are known to be necessary for a centre are also sufficient.
Keywords: ordinary differential equations, polynomial systems, Liénard systems 
@article{EJDE_2000__2000__a85,
     author = {Albarakati,  W.A. and Lloyd,  N.G. and Pearson,  J.M.},
     title = {Transformation to {Li\'enard} form},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0983.34023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a85/}
}
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AU  - Pearson,  J.M.
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JO  - Electronic journal of differential equations
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VL  - 2000
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%A Pearson,  J.M.
%T Transformation to Liénard form
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a85/
%G en
%F EJDE_2000__2000__a85
Albarakati,  W.A.; Lloyd,  N.G.; Pearson,  J.M. Transformation to Liénard form. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a85/