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Transformation to Liénard form. (English) Zbl 0983.34023

The authors’ abstract: The authors show that certain two-dimensional differential systems can be transformed to a system of Liénard type. This enables known criteria for the existence of a centre for Liénard 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.

MSC:

34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
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