Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians
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Publication:4223736
DOI10.1088/0951-7715/11/6/006zbMath0921.58044OpenAlexW1968938958MaRDI QIDQ4223736
Publication date: 19 August 1999
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/11/6/006
limit cycleAbelian integralinfinitesimal 16th Hilbert problemMelnikov functionHamiltonian systemPicard-Fuchs equation
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)
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