A note on: Abelian integrals and bifurcation theory

DOI10.1016/0022-0396(85)90149-4zbMath0642.34023OpenAlexW2017278501MaRDI QIDQ1101600

Stephan A. van Gils

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90149-4

zbMATH Keywords

uniqueness of limit cycles

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (9)

The limited effectiveness of normal forms: A critical review and extension of local bifurcation studies of the Brusselator PDE ⋮ On the number of limit cycles in perturbations of a two dimensional nonlinear differential system ⋮ Bifurcations of certain family of planar vector fields tangent to axes ⋮ Multiple bifurcation in a predator–prey system with nonmonotonic predator response ⋮ THE CUSP–HOPF BIFURCATION ⋮ Homoclinic and heteroclinic bifurcations of Vector fields ⋮ HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS ⋮ Uniqueness of periodic orbits of some vector fields with codimension two singularities ⋮ Homoclinic bifurcations in symmetric unfoldings of a singularity with three-fold zero eigenvalue

Cites Work

• Abelian integrals and bifurcation theory
• ON THE VERSALITY OF A FAMILY OF SYMMETRIC VECTOR FIELDS IN THE PLANE

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