Centers: their integrability and relations with the divergence

DOI10.21042/AMNS.2016.1.00007zbMath1386.34056OpenAlexW2397446885MaRDI QIDQ4597635

Jaume Llibre

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21042/amns.2016.1.00007

zbMATH Keywords

integrabilitydivergencecenter problemPoincaré-Liapunov constants

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34)

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Cites Work

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• Qualitative theory of planar differential systems
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• On the differentiability of first integrals of two dimensional flows
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Local analytic integrability for nilpotent centers
• The focus-centre problem for a type of degenerate system
• Symétrie et forme normale des centres et foyers dégénérés
• The center-focus problem and reversibility

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