THE CHEN SYSTEM HAVING AN INVARIANT ALGEBRAIC SURFACE

被引:11
作者
Cao, Jinlong [1 ]
Chen, Cheng [1 ]
Zhang, Xiang [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 12期
关键词
Chen system; invariant algebraic surfaces;
D O I
10.1142/S0218127408022706
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we characterize the dynamics of the Chen system (x) over dot = a(y - x), (y) over dot = (c - a) x - xz + cy, (z) over dot = xy - bz which has an invariant algebraic surface.
引用
收藏
页码:3753 / 3758
页数:6
相关论文
共 6 条
[1]  
[Anonymous], TRANSL MATH MONOGRAP
[2]  
[Anonymous], 1985, QUALITATIVE THEORY D
[3]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[4]   Darboux polynomials and algebraic integrability of the Chen system [J].
Lu, Tinghua ;
Zhang, Xiang .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (08) :2739-2748
[5]  
Ye Y., 1984, Theory of Limit Cycles
[6]  
Ye Y.-Q, 1986, TRANSL MATH MONOGR, V66