Abelian integrals related to Morse polynomials and perturbations of plane Hamiltonian vector fields

DOI10.5802/aif.1684zbMath0924.58077OpenAlexW2021867589MaRDI QIDQ1288649

Lyubomir Gavrilov

Publication date: 16 May 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_2_611_0

zbMATH Keywords

limit cyclesHamiltonian vector fieldsabelian integralsMorse critical pointsgenerators of \(\mathcal A\)

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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