The obtained result is consistent with coexistence of multiple noisy attractors with different scales[@Kuznetsov-05] and also with the features of the parameter dependence of the attractor[@Feudel-etal-06], i.e., the birth of SNA via internal crisis like behavior with decreasing $a$ and via fractalization like behavior with increasing $a$.

![Phase diagram near TDT critical point\[FIG:PD-TDT\]](figure-4a.eps "fig:"){width="48.00000%"} ![Phase diagram near TDT critical point\[FIG:PD-TDT\]](figure-4b.eps "fig:"){width="44.00000%"}

Black $\times$ indicates the TDT critical point $(1.15809685\dots,
0.36024802\dots)$ (the value obtained in Kuznetsov etal.[@Kuznetsov-ETAL-98]). Black + in box (b) indicates the parameter value used in the next figure. “+rr”, “+rrr” etc. in legends indicate the existence of multiple repellers. These plots are obtained with mesh size $(\Delta
a,\Delta\epsilon)$=$(0.00004,0.00002)$.

![Nested structure of absorbing areas (basin of repulsion) and corresponding repellers observed at $(a,\epsilon)=(1.1581,0.361)$ (indicated by the black + in fig. \[FIG:PD-TDT\]) Plots in box (a), (b) are obtained with 2000, 1500 target fibers of $\theta$ values within $[0,1]$, $[0.31,0.46]$ respectively. \[FIG:multi-repellers\]](figure-5a.eps "fig:"){width="48.00000%"} ![Nested structure of absorbing areas (basin of repulsion) and corresponding repellers observed at $(a,\epsilon)=(1.1581,0.361)$ (indicated by the black + in fig. \[FIG:PD-TDT\]) Plots in box (a), (b) are obtained with 2000, 1500 target fibers of $\theta$ values within $[0,1]$, $[0.31,0.46]$ respectively. \[FIG:multi-repellers\]](figure-5b.eps "fig:"){width="48.00000%"}

In the next figure 