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A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family

P. Yu, X.X. Liao, S.L. Xie, Y.L. Fu
2009 Communications in nonlinear science & numerical simulation  
In this paper, we give a constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family, which contains four independent parameters and is more general than any Lorenz systems studied so far in the literature. The system considered in this paper not only contains the classical Lorenz system and the generalized Lorenz family as special cases, but also provides three new Lorenz systems, which do not belong to the generalized Lorenz
more » ... system, but the general Lorenz system. The results presented in this paper contain all the existing relative results as special cases.
doi:10.1016/j.cnsns.2008.10.008 fatcat:t7clns3auzbgdfx2xskwsvybrm