The infinitesimal Hilbert's 16th problem in the real and complex planes

DOI10.1007/S12346-008-0027-9zbMath1311.34066OpenAlexW2098107581MaRDI QIDQ489197

Salomón Rebollo-Perdomo

Publication date: 27 January 2015

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-008-0027-9

zbMATH Keywords

limit cyclesabelian integralspolynomial differential equations

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamical aspects of holomorphic foliations and vector fields (37F75)

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Medium Amplitude Limit Cycles of Some Classes of Generalized Liénard Systems ⋮ Medium amplitude limit cycles in second order perturbed polynomial Liénard systems

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