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• W2092128580 abstract "We give an upper bound for the number of zeros of an Abelian integral. This integral controls the number of limit cycles that bifurcate, by a polynomial perturbation of arbitrary degree n, from the periodic orbits of the integrable system (1+x)dH=0, where H is the quasi-homogeneous Hamiltonian H(x,y)=x2k/(2k)+y2/2. The tools used in our proofs are the Argument Principle applied to a suitable complex extension of the Abelian integral and some techniques in real analysis." @default.
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• W2092128580 date "2007-05-01" @default.
• W2092128580 modified "2023-09-25" @default.
• W2092128580 title "On the number of limit cycles bifurcating from a non-global degenerated center" @default.
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• W2092128580 doi "https://doi.org/10.1016/j.jmaa.2006.06.047" @default.
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