期刊
PHYSICS LETTERS A
卷 377, 期 39, 页码 2771-2776出版社
ELSEVIER
DOI: 10.1016/j.physleta.2013.08.034
关键词
Lorenz system; Lu system; Local bifurcation; Periodic orbit; Invariant algebraic surface; Chaotic attractor
资金
- Ministerio de Educacion y Ciencia
- FEDER funds [MTM2010-20907-C02]
- Consejeria de Educacion y Ciencia de la Junta de Andalucia [FQM-276, TIC-0130, P08-FQM-03770]
Between the so-called Lorenz-like systems, the Lu system, <(x)over dot> = a(y - x), <(y)over dot> = cy - xz, <(z)over dot> = -bz + xy, has attracted great interest in the last decade. In this Letter we show that, generically (c not equal 0), there is a homothetic transformation which converts the Lu system into the Lorenz system and, therefore, all the dynamical behavior exhibited by the Lu system is also present in the Lorenz system. Consequently, all the results obtained in the papers devoted to the study of the Lu system can be trivially derived from the corresponding results on the Lorenz system. (C) 2013 Elsevier B.V. All rights reserved.
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