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- W1992919924 abstract "Suppose that the real generic cubic Hamiltonian H(x, y), , possesses three saddle points and one centre. Let be the set of values h of H(x, y), for which there exists a closed component δ(h) of the level curve {H(x, y) = h}, free of critical points. In this paper, we obtain a better upper bound than previously known for the number of zeros of the Abelian integrals I(h) = ∫δ(h)[g(x, y) dx − f(x, y) dy] for h Σ in terms of the maximum of the degrees of the polynomials f(x, y) and g(x, y)." @default.
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- W1992919924 date "2010-11-02" @default.
- W1992919924 modified "2023-09-26" @default.
- W1992919924 title "An improved estimate for the number of zeros of Abelian integrals for cubic Hamiltonians" @default.
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- W1992919924 doi "https://doi.org/10.1088/0951-7715/23/12/004" @default.
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