On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems

DOI10.1007/s00039-008-0688-1zbMath1167.32005arXiv0704.3217OpenAlexW2081647025MaRDI QIDQ1005066

Dmitri Novikov

Publication date: 13 March 2009

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3217

zbMATH Keywords

Mellin transformAbelian integralgeneralized Petrov operatorisolated zeropseudo-Abelian integral

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Real-analytic sets, complex Nash functions (32C07)

Related Items (7)

On global non-oscillation of linear ordinary differential equations with polynomial coefficients ⋮ 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 ⋮ Pseudo-abelian integrals: unfolding generic exponential case ⋮ Darboux systems with a cusp point and pseudo-abelian integrals

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