Article
Centers: their integrability and relations with the divergence
Authors
Abstract
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.
Keywords
Center problem, integrability, Poincaré–Liapunov constants, divergence, 34C25, 37G10, 34A34, 34C05
Citation
Llibre, J. (2016). Centers: Their integrability and relations with the divergence. Applied Mathematics and Nonlinear Sciences, 1(1), 79–86. https://doi.org/10.21042/AMNS.2016.1.00007
J. Llibre, “Centers: Their integrability and relations with the divergence,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, pp. 79–86, 2016, doi: 10.21042/AMNS.2016.1.00007.
Llibre J. Centers: Their integrability and relations with the divergence. Applied Mathematics and Nonlinear Sciences. 2016;1(1):79–86. doi:10.21042/AMNS.2016.1.00007.
Llibre, J. (2016), ‘Centers: Their integrability and relations with the divergence’, Applied Mathematics and Nonlinear Sciences, 1(1), pp. 79–86. Available at: https://doi.org/10.21042/AMNS.2016.1.00007.
Llibre, J. “Centers: Their Integrability and Relations with the Divergence.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, 2016, pp. 79–86. https://doi.org/10.21042/AMNS.2016.1.00007.
Llibre, J. “Centers: Their Integrability and Relations with the Divergence.” Applied Mathematics and Nonlinear Sciences 1, no. 1 (2016): 79–86. https://doi.org/10.21042/AMNS.2016.1.00007.
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Published by: Engineering Journals
