Beyond Natural Sciences
Applied Mathematics and Nonlinear Sciences

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Open Access
Available online: January 01, 2016

Centers: their integrability and relations with the divergence

J. Llibre
Volume 1 - Issue 1.     Year 2016.     Pages 79–86.

DOI: 10.21042/AMNS.2016.1.00007


This 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.

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Applied Mathematics, Nonlinear Sciences


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