  In this article, we propose an anomalous chaotic system of the scaling-law
ordinary differential equations involving the Mandelbrot scaling law. This
chaotic behavior shows the "Wukong" effect. The comparison among the Lorenz and
scaling-law attractors is discussed in detail. We also suggest the conjecture
for the fixed point theory for the fractal SL attractor. The scaling-law chaos
may be open a new door in the study of the chaos theory.
