Algebraic invariant curves of plane polynomial differential systems

DOI10.1088/0305-4470/34/3/325zbMath0977.34079arXivmath/0009208OpenAlexW2177437510MaRDI QIDQ2713740

Alexei Tsygvintsev

Publication date: 10 June 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009208

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) Ordinary differential equations on complex manifolds (34M45) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

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On a Result of Darboux ⋮ Legendrian curves in \(\mathbb{C} P^3\): cubics and curves on a quadric surface ⋮ Planar vector fields with a given set of orbits ⋮ Lie symmetries of quasihomogeneous polynomial planar vector fields and certain perturbations

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