On nonexistence of algebraic curve solutions to second-order polynomial autonomous systems over the complex field.

DOI10.1007/s102550200068zbMath1094.34513OpenAlexW2016784272MaRDI QIDQ1566062

Zhao-sheng Feng

Publication date: 25 September 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200068

Mathematics Subject Classification ID

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

Cites Work

• Nonlinear stochastic PDEs. Hydrodynamic limit and Burgers' turbulence. Based on the proceedings of a workshop held at IMA, University of Minnesota, MN, USA during the 1993-94 IMA program on emerging applications of probability
• The Burgers equation under deterministic and stochastic forcing
• Complex linear groups of degree less than \(4p/3\)
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