Rotation rate of a trajectory of an algebraic vector field around an algebraic curve

DOI10.1007/BF02969381zbMath1081.37013OpenAlexW2007549874MaRDI QIDQ5947307

No author found.

Publication date: 2001

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02969381

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Cites Work

• Unnamed Item
• Trajectories of polynomial vector fields and ascending chains of polynomial ideals
• Meandering of trajectories of polynomial vector fields in the affine \(n\)-space
• Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality
• Oscillation of analytic curves

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