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Configurations of zeroes of analytic functions

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Publication:2748288
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DOI10.1016/S0764-4442(01)02059-6zbMath1037.34028OpenAlexW2026836790MaRDI QIDQ2748288

Magdalena Caubergh

Publication date: 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)02059-6


zbMATH Keywords

singular perturbationsMelnikov methodanalytic vector fields


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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Semi-analytic sets, subanalytic sets, and generalizations (32B20)


Related Items (3)

Cyclicity versus center problem ⋮ Absolute cyclicity, Lyapunov quantities and center conditions ⋮ Cyclicity of period annuli and principalization of Bautin ideals







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