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Classification of centers, their cyclicity and isochronicity for a class of polynomial differential systems of degree \(d\geq 7\) odd

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Publication:617778
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zbMath1230.37027MaRDI QIDQ617778

Jaume Llibre, Claudia Valls

Publication date: 13 January 2011

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1292334061

zbMATH Keywords

isochronicitycenterspolynomial differential systemscyclicity


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10)


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Center conditions and cyclicity for a family of cubic systems: computer algebra approach



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