Phase Portraits of Reversible Linear Differential Systems with Cubic Homogeneous Polynomial Nonlinearities Having a Non-degenerate Center at the Origin

Phase Portraits of Reversible Linear Differential Systems with Cubic Homogeneous Polynomial Nonlinearities Having a Non-degenerate Center at the Origin
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DOI:
10.1007/s12346-008-0021-2
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发表时间:
2009
影响因子:
1.4
通讯作者:
C. Buzzi;J. Llibre;J. Medrado
C. Buzzi;J. Llibre;J. Medrado
中科院分区:
数学4区
文献类型:
--
作者:
C. Buzzi;J. Llibre;J. Medrado

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In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1.