Dynamical Types for Case Z at various values of N

N    Attractor        Dimension
1    Fixed point      0
2    Fixed point      0
3    Invariant circle 1  (Hopf bifurcation)
4    Fixed point      0  (Hopf bifurcation)
5    Fixed point      0
6    Invariant circle 1  (Hopf bifurcation)
7    Limit cycle      1
8    Fixed point      0  (Hopf bifurcation)
9    Invariant circle 1  (Hopf bifurcation)
10   2-torus          2
11   2-torus          2
12   Fixed point      0  (Hopf-Hopf bifurcation)
13   2-torus          2
14   2-torus          2
15   2-torus          2
16   3-torus          3
17   2-torus          2
...  ...              ...
45   2-torus          2
46   3-torus          3
47   2-torus          2
48   2-torus          2
49   2-torus          2
50   3-torus          3
51   3-torus          3
52   2-torus          2
53   2-torus          2
54   3-torus          3  (highly crinkled torus)
...  ...              ...
58   3-torus          3
59   Chaotic          >4
60   Chaotic          >4
61   3-torus          3
62   3-torus          3
63   Chaotic          >4
64   Chaotic          >4
65   3-torus          3
66   Chaotic          >4
...  ...              ...