The Boolecube model reaches the point attractor in 7th iteration X(7) = [0.5; 0; 0; 0.45; 0.45; 0.2; 0.2; 0; 0; 0.55; 0.55; 0; 0.55].
It is easy to see differences in IBN and Boolecube models dynamics and their point attractors reached.
Although the dynamics of the state variables are similar in two approaches, state variables [x.sub.3](f), [x.sub.5](f), and [x.sub.7](f) reach significantly different point attractors in IBN model as compared with fuzzy BN model (values are bold in Table 1).
We suspect that our [pi], and [omega] used by McCann and Hasting (1997) and Huxel and McCann (1998), work like tuning parameters that eliminate chaos by causing the incommensurate frequencies to coalesce and collapse towards a stable limit cycle or a stable point attractor.
The range of [pi] over which the limit cycle system displayed a point attractor (0.61 [less than or equal to] [pi][less than or equal to] 0.80, for this parameter set) was broader than that for the chaotic system.
Chaos theory advances Foucault's social control thesis by explaining how and why the medical justice system behaves as it does in relation to the civilly committed, given the concept of the point attractor. However, there is another attractor within nonlinear dynamics that represents the potential for liberating growth and change.
The point attractor, as operating under psycholegal mechanisms of direct control, draws social behavior to a stated theme (involuntary commitment as an outcome).
Instruments of psycholegal control, as represented by a point attractor, disregard traces of difference.
Thus, the point attractor employs psychiatric confinement both to draw all difference to it and, subsequently, to channel all difference into a healthier end state.
9a is such a plot: the lower equilibrium in this case is chaotic, the upper equilibrium is a focal
point attractor (damped oscillations), and the middle point is unstable and marks a point on the separatrix between the two basins of attraction (illustrated in this example by a dotted line).
Thus, organic structures on all scales are fixed
point attractors, stable or metastable configurations that emerge from less highly organized systems by processes of growth and evolution.