Abstract
In this paper, the global exponential attractive sets of the T chaotic system are studied. The method for constructing Lyapunov functions that are applied to the former chaotic systems [Liao, 2004; Liao et al., 2008; Wang et al., 2011; Zhang et al., 2011a; Zhang et al., 2011b; Yu & Liao, 2008; Li et al., 2009; Yu et al., 2009] does not work for the T chaotic system. We overcome this difficulty by introducing a cross term xy. We get a perfect result that contains the case for the parameter values considered covering the most interesting case of the chaotic attractor system.
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