A transfer principle in the real plane from nonsingular algebraic curves to polynomial vector fields

DOI10.1023/A:1005236203566zbMath0962.14034MaRDI QIDQ1971732

Rudolf Winkel

Publication date: 6 June 2000

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

ovalsreal algebraic curveattractors of polynomial vector field

Mathematics Subject Classification ID

Plane and space curves (14H50) Topology of real algebraic varieties (14P25)

Related Items (6)

Attractors and symmetries of vector fields: the inverse problem ⋮ Realization problems for limit cycles of planar polynomial vector fields ⋮ On vector fields with prescribed limit cycles ⋮ Counterexample to a conjecture on the algebraic limit cycles of polynomial vector fields ⋮ Synthesis of oscillators for exact desired periodic solutions having a finite number of harmonics ⋮ Note on a paper of J. Llibre and G. Rodríguez concerning algebraic limit cycles

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