Invariant algebraic surfaces of the Chen system

Deng Xijun; Aiyong Chen

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Invariant algebraic surfaces of the Chen system

Deng Xijun 1 * #,Aiyong Chen 2

1.School of Information and Mathematics, Yangtze University

2.School of Mathematics and Computing Science, Guilin University of Electronic Technology

*Correspondence author

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Funding: none

Opened online: 4 May 2010

Accepted by: none

Citation: Deng Xijun ,Aiyong Chen.Invariant algebraic surfaces of the Chen system[OL]. [ 4 May 2010] http://en.paper.edu.cn/en_releasepaper/content/42530

In this paper, enlightened by the idea of the weight of a polynomial introduced by Peter Swinnerton-dyer [Peter Swinnerton-dyer, The invariant algebraic surfaces of the Lorenz system, Math.Proc.Camb.Phil.Soc. (2002), 132,385-393.], we find all the invariant algebraic surfaces of the Chen system x\

Keywords:Darboux polynomials;Invariant algebraic surface;Cofactor;Chen system

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