Transformation to Lienard Form
Lloyd, N. G.
Pearson, Jane M.
Southwest Texas State University, Department of Mathematics
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.
Ordinary differential equations, Polynomial systems, Lienard systems
Albarakati, W. A., Lloyd, N. G., & Pearson, J. M. (2000). Transformation to Lienard form. <i>Electronic Journal of Differential Equations, 2000</i>(76), pp. 1-11.