Conjugate Lorenz-type chaotic attractors

Based on the generalized Lorenz system, a conjugate Lorenz-type system is introduced, which contains three different chaotic attractors, i.e., the conjugate Lorenz attractor, the conjugate Chen attractor and the conjugate Lü attractor. These new attractors are conjugate, respectively, to the Lorenz attractor, the Chen attractor and the Lü attractor in an algebraic sense. The conjugate attractors may be helpful for finally revealing the geometric structure of the Lorenz attractor.