Hilbert’s sixteenth problem and its generalization

DOI10.1007/s11741-001-0003-yzbMath1042.14028OpenAlexW2081086072WikidataQ126245781 ScholiaQ126245781MaRDI QIDQ2748698

Pingxing Sheng

Publication date: 2001

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-001-0003-y

zbMATH Keywords

Hilbert's 16th problemHarnack theoremconfiguration of branches of an algebraic curvenumber of limit cycles for a polynomial planar system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Special algebraic curves and curves of low genus (14H45)

Cites Work

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• The topology of four-dimensional manifolds
• Dynamics retrospective: Great problems, attempts that failed
• A survey of quadratic systems
• THE TOPOLOGY OF REAL PROJECTIVE ALGEBRAIC VARIETIES
• Some properties of homogeneous vector fields
• Differentiable dynamical systems

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