AAM  >> Vol. 5 No. 1 (February 2016)

    An Algorithm for Computing a Normal Form of a Class of Planar Degenerate Dynamical Systems

  • 全文下载: PDF(403KB) HTML   XML   PP.98-111   DOI: 10.12677/AAM.2016.51014  
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李梦晓,黄土森:浙江理工大学理学院数学系,浙江 杭州

平面退化系统正规形近恒等变量变换Carleman线性化方法Planar Degenerate System Normal Form Near Identity Change of Variable Method of Carleman Linearization


In this paper the normal forms of a class of planar degenerate dynamical systems are computed by using the method of Carleman linearlization, in the mean time, a sequence of the associated near identity change of variables is given. These results generalize the computations of normal forms for the non-degenerate dynamical systems with non-zero linear part in the classical theory of normal forms to those for the degenerate dynamical systems with zero linear part, and establish the bases to simplify the analyses of the dynamical properties of the degenerate systems.

李梦晓, 黄土森. 一类退化平面系统的正规形的计算[J]. 应用数学进展, 2016, 5(1): 98-111. http://dx.doi.org/10.12677/AAM.2016.51014


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