In looking for a system that has an algebraic form similar to the one of the Lorenz system but that is not related to it by a diffeormorphism, Guanrong Chen and Tetsushi Ueta discovered the set of three ordinary differential equations 
For appropriate parameter values, this system produces a chaotic attractor (Fig. 1) that is topologically equivalent to the Lorenz attractor. These parameter values are , and .
For another set of parameter values, that is, for , and , the Chen-Ueta system produces a chaotic attractor (Fig. 2) that is topologically equivalent to the "Burke and Shaw" system. This system does not differ from the other Lorenz-like systems listed in this compilation. It was recently shown that there exists a homothetic transformation between the Chen-Ueta and the Lorenz systems .
 G. Chen & T. Ueta, Yet another chaotic attractor, International Journal of Bifurcation and Chaos, 9, 1465-1466, 1999.
 A. Algaba, F. Fernández-Sánchez, M. Merino & A. J. Rodríguez-Luis, Chen’s attractor exists if Lorenz repulsor exists : The Chen system is a special case of the Lorenz system, Chaos, 23 (3), 033108, 2013. On line.