The multiplicity of limit cycles arising from perturbations of the form 𝑤’=𝑃₂/𝑄₁ of a Hamilton equation in the real and complex domain

DOI10.1090/trans2/118/10zbMath0494.34018OpenAlexW4247811485MaRDI QIDQ3957246

Yulij S. Ilyashenko

Publication date: 1982

Published in: American Mathematical Society Translations: Series 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/118/10

zbMATH Keywords

vanishing cyclesHamiltonian equationmultiplicity of limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Hamilton's equations (70H05) Ordinary differential equations in the complex domain (34M99)

Related Items (6)

On the number of critical points of the period ⋮ The monotonicity of the period function for planar Hamiltonian vector fields ⋮ The number of limit cycles of polynomial deformations of a Hamiltonian vector field ⋮ Affine upper bounds for the number of zeros of abelian integrals for quartic elliptic Hamiltonians ⋮ A codimension two bifurcation with a third order Picard-Fuchs equation ⋮ Abelian integrals and bifurcation theory

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