Minimum number of ideal generators for a linear center perturbed by homogeneous polynomials

DOI10.1016/j.na.2008.10.008zbMath1238.34074OpenAlexW1974229597MaRDI QIDQ419723

Josep Mallol, Jaume Giné

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.008

zbMATH Keywords

Gröbner basiscenter problemPoincaré-Liapunov constantsfine focus order

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) 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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