Restricted infinitesimal Hilbert's sixteenth problem

DOI10.1134/S1064562406020086zbMath1327.34057OpenAlexW2392808167MaRDI QIDQ492309

Yong-Cai Geng, Sumit K. Garg

Publication date: 20 August 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406020086

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) Periodic orbits of vector fields and flows (37C27) Topology of real algebraic varieties (14P25)

Cites Work

• On the number of zeros of analytic functions in a neighborhood of a Fuchsian singular point with real spectrum
• Counting real zeros of analytic functions satisfying linear ordinary differential equations
• Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\)
• Centennial History of Hilbert's 16th Problem
• Redundant Picard-Fuchs system for abelian integrals

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