Universal centres and composition conditions

Universal centres and composition conditions
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DOI:
10.1112/plms/pds050
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发表时间:
2013-03
影响因子:
1.8
通讯作者:
J. Giné;M. Grau;J. Llibre
J. Giné;M. Grau;J. Llibre
中科院分区:
数学1区
文献类型:
--
作者:
J. Giné;M. Grau;J. Llibre

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In this paper, we characterize the universal centres of the ordinary differential equations dρ/dθ=∑i=1∞ai(θ)ρi+1 , where ai(θ) are trigonometric polynomials, in terms of the composition conditions. These centres are closely related with the classical Poincaré centre problem for planar analytic differential systems.