Pseudo-Abelian integrals along Darboux cycles

DOI10.1112/PLMS/PDN015zbMath1171.34023OpenAlexW2053442285MaRDI QIDQ3535597

Marcin Bobieński, Pavao Mardešić

Publication date: 13 November 2008

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdn015

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 (9)

On global non-oscillation of linear ordinary differential equations with polynomial coefficients ⋮ Pseudo-Abelian integrals along Darboux cycles: A codimension one case ⋮ Pseudo-abelian integrals on slow-fast Darboux systems ⋮ Darboux integrable system with a triple point and pseudo-abelian integrals ⋮ On the finite cyclicity of open period annuli ⋮ On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem ⋮ Melnikov functions in quadratic perturbations of generalized Lotka-Volterra systems ⋮ Pseudo-abelian integrals: unfolding generic exponential case ⋮ Darboux systems with a cusp point and pseudo-abelian integrals

This page was built for publication: Pseudo-Abelian integrals along Darboux cycles