Comments on "Dynamics of the general Lorenz family" by Y. Liu and W. Pang

被引：4
作者：
Algaba, Antonio [1 ]
Fernandez-Sanchez, Fernando [2 ]
Merino, Manuel [1 ]
Rodriguez-Luis, Alejandro J. [2 ]
机构：
[1] Univ Huelva, Ctr Invest Fis Teor & Matemat FIMAT, Dept Matemat, Huelva 21071, Spain
[2] Univ Seville, Dept Appl Math 2, ES Ingenieros, Seville 41092, Spain
来源：
NONLINEAR DYNAMICS | 2014年 / 76卷 / 01期
关键词：
General Lorenz family; Equilibrium; Homoclinic orbits; Heteroclinic orbits; degenerate heteroclinic cycle; Chen system; Lu system; EXPONENTIALLY ATTRACTIVE SET; POSITIVE INVARIANT SET; SILNIKOV-TYPE ORBITS; CONSTRUCTIVE PROOF; CHAOTIC ATTRACTOR; HOMOCLINIC ORBITS; SYSTEMS; EXISTENCE;
D O I：
10.1007/s11071-013-1142-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A paper, "Dynamics of the general Lorenz family," was published in the journal Nonlinear Dynamics. The authors investigate the general Lorenz family , , , considering that it contains four independent parameters. However, we show that, generically (for c not equal 0), this family is equivalent to the Lorenz system and, thus, the results they provide for the general Lorenz family are easily obtained from the corresponding results on the Lorenz system. Moreover, in the case c=0, it is sufficient to consider a two-parameter system.
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收藏
页码：887 / 891
页数：5
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