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Pseudo-Abelian integrals along Darboux cycles: A codimension one case

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Publication:2378623
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DOI10.1016/j.jde.2008.07.030zbMath1163.34022OpenAlexW2018411665MaRDI QIDQ2378623

Marcin Bobieński

Publication date: 13 January 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.07.030


zbMATH Keywords

limit cycleAbelian integralintegrable system


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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)


Related Items (4)

Pseudo-abelian integrals on slow-fast Darboux systems ⋮ Darboux integrable system with a triple point and pseudo-abelian integrals ⋮ Pseudo-abelian integrals: unfolding generic exponential case ⋮ Darboux systems with a cusp point and pseudo-abelian integrals



Cites Work

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  • Projections of semi-analytic sets
  • Pseudo-Abelian integrals along Darboux cycles


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