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Word problems related to periodic solutions of a non-autonomous system

Published online by Cambridge University Press:  24 October 2008

James Devlin
James Devlin
Affiliation:
Department of Mathematics, The University College of Wales, Aberystwyth, Dyfed
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Extract

In this paper, we develop an abstract formulation of a problem which arises in the investigation of the number of limit cycles of systems of the form

where p and q are homogeneous polynomials. This is part of the much wider study of Hilbert's sixteenth problem, in which information is sought about the number of limit cycles of systems of the form

where P and Q are polynomials, and their possible configurations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 1 , July 1990 , pp. 127 - 151
Copyright
Copyright © Cambridge Philosophical Society 1990

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