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- W1806601119 abstract "By using the Chebyshev criterion to study the number of zeros of Abelian integrals, developed by M. Grau, F. Ma(~n)osas and J. Villadelprat in [2], we prove that the cyclicity of period annulus of the quadratic reversible systems with center of genus one, classified as (r8), (r13) and (r16) by S. Gautier, L. Gavrilov and I. D. Iliev in [1], under quadratic perturbations is two. These results partially give a positive answer to the conjecture 1 in [1]." @default.
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- W1806601119 date "2011-01-01" @default.
- W1806601119 modified "2023-09-23" @default.
- W1806601119 title "CYCLICITY OF SEVERAL QUADRATIC REVERSIBLE SYSTEMS WITH CENTER OF GENUS ONE" @default.
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- W1806601119 doi "https://doi.org/10.11948/2011030" @default.
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