Electron. J. Diff. Eqns., Vol. 2000(2000), No. 76, pp. 1-11.

Transformation to Lienard form

W. A. Albarakati, N. G. Lloyd, & J. M. Pearson

Abstract:
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.

Submitted October 31, 2000. Published December 22, 2000.
Math Subject Classifications: 34CO7.
Key Words: Ordinary differential equations, polynomial systems, Lienard systems.

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W. A. Albarakati
Department of Mathematics, King Abdulaziz University,
Jeddah, Saudi Arabia

Noel G. Lloyd
Department of Mathematics, University of Wales,
Aberystwyth, Ceredigion SY23 3BZ, UK
e-mail: ngl@aber.ac.uk

Jane M. Pearson
Department of Mathematics, University of Wales,
Aberystwyth, Ceredigion SY23 3BZ, UK
e-mail: jmp@aber.ac.uk

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