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- W2076673476 abstract "The period annuli of the planar vector field x ′ = − y F ( x , y ) , y ′ = x F ( x , y ) , where the set { F ( x , y ) = 0 } consists of k different isolated points, is defined by k + 1 concentric annuli. In this paper we perturb it with polynomials of degree n and we study how many limit cycles bifurcate, up to a first order analysis, from all the period annuli simultaneously in terms of k and n . Additionally, we prove that the associated Abelian integral is piecewise rational and, when k = 1 , the provided upper bound is reached. Finally, the case k = 2 is also treated." @default.
- W2076673476 created "2016-06-24" @default.
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- W2076673476 date "2014-01-01" @default.
- W2076673476 modified "2023-09-27" @default.
- W2076673476 title "Simultaneous bifurcation of limit cycles from a linear center with extra singular points" @default.
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- W2076673476 doi "https://doi.org/10.1016/j.bulsci.2013.09.004" @default.
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