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Centers: their integrability and relations with the divergence

Centers: their integrability and relations with the divergence AbstractThis is a brief survey on the centers of the analytic differential systems in ℝ2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus–center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Nonlinear Sciences de Gruyter

Centers: their integrability and relations with the divergence

Llibre, J.
Applied Mathematics and Nonlinear Sciences , Volume 1 (1): 8 – Jan 1, 2016
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Publisher
de Gruyter
Copyright
© 2016 J. Llibre, published by Sciendo
eISSN
2444-8656
DOI
10.21042/AMNS.2016.1.00007
Publisher site
See Article on Publisher Site

Abstract

AbstractThis is a brief survey on the centers of the analytic differential systems in ℝ2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus–center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system.

Journal

Applied Mathematics and Nonlinear Sciences – de Gruyter

Published: Jan 1, 2016

References

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  • Problème général de la stabilité du mouvement of Math Princeton University Press The Poincaré center problem Dynamical and Control Systems A characterization of centres via first integrals Differential Equations
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  • Détermination et integration d une certaine classe d équations différentielle ayant par point singulier un centre Qualitative theory of planar differential systems Springer Verlag
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