Divergence and Poincare-Liapunov constants for analytic differential systems
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2015Suggested citation
Grau Montaña, Maite; Llibre, Jaume; . (2015) . Divergence and Poincare-Liapunov constants for analytic differential systems. Journal of Differential Equations, 2015, núm. 12, p. 4348-4367. https://doi.org/10.1016/j.jde.2015.01.035.
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Abstract
We consider a planar autonomous real analytic differential system with a monodromic singular point p. We deal with the center problem for the singular point p. Our aim is to highlight some relations between the divergence of the system and the Poincaré-Liapunov constants of p when these are defined.