邹健, 胡岗
理论物理通讯. 1988, 10(3): 251-259.
We use numerical methods to study the model x(n+l)=λx(n) (x(n)-1)+ef(θ(n),φ(n)),θ(n+1)=θ(n)+A, φ(n+1)=φ(n)+B. As e is small, we get doubled three-tori. Increasing e the tori become fractal three-tori, the dimension is not integer, while the trajectory does not diverge exponentially. Finally it changes into chaos. The critical parameter values.for chaos are approximately calculated. So one of the roads from three-tori to chaos is three-tqri→fractal three-tori (not chaos)→chaos.