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INVARIANT ALGEBRAIC SURFACES OF THE CHEN SYSTEM

Authors :
Aiyong Chen
Xijun Deng
Source :
International Journal of Bifurcation and Chaos. 21:1645-1651
Publication Year :
2011
Publisher :
World Scientific Pub Co Pte Lt, 2011.

Abstract

In this paper, enlightened by the idea of the weight of a polynomial introduced by Swinnerton-Dyer [2002], we find all the invariant algebraic surfaces of the Chen system x′ = a(y - x), y′ = (c - a)x + cy - xz, z′ = xy - bz.

Details

ISSN :
17936551 and 02181274
Volume :
21
Database :
OpenAIRE
Journal :
International Journal of Bifurcation and Chaos
Accession number :
edsair.doi...........5774241c5044f1955e36490673751275
Full Text :
https://doi.org/10.1142/s0218127411029331