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Algaba A. Fernandez-Sanchez F. Merino M. Rodríguez-Luis A.J.
Communications in Nonlinear Science and Numerical Simulation
Doi 10.1016/j.cnsns.2013.07.022
Volumen 19 páginas 758 - 761
2014-03-01
Citas: 6
Abstract
In the commented paper the authors study some aspects of boundedness in the general Lorenz family, ?=?(y-x),?=?x-?y-xz,?=-?z+xy, considering that it contains four independent parameters. However, as we show here by means of a linear scaling in time and coordinates, they are dealing with a system homothetically equivalent to the Lorenz system. Consequently, the novel and interesting results they provide for the general Lorenz family can be obtained working directly with the Lorenz equations, that is, dealing only with three independent parameters. © 2013 Elsevier B.V.
General Lorenz family, Generalized Lyapunov function, Globally exponentially attractive set, Positive invariant set, Ultimate boundness of chaotic system
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