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The partition of the system has to be chosen in such a way that it is generating: There is a finite-to-one correspondence between infinite sequences and initial conditions. See, for instance, S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, Berlin, 1990).
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The effect of introducing different sources of disorder has been reported, for instance, in H. Bohr , Parallel Computing 12, 113 (1989)
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Fig. 1010, where the temporal behavior of clusters is shown, only two or three clusters can often be seen. This, however, is explained by the low precision (Formula presented) used in these plots. When the precision is increased, splitting of the clusters would be observed, similar to what is shown in Fig. 1111
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In Fig. 1010, where the temporal behavior of clusters is shown, only two or three clusters can often be seen. This, however, is explained by the low precision (Formula presented) used in these plots. When the precision is increased, splitting of the clusters would be observed, similar to what is shown in Fig. 1111.
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85036250820
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The value of (Formula presented) is theoretically bounded by (Formula presented): For (Formula presented) divergencies in the values of (Formula presented) might be found. In practical terms, however, it is found that interactions among the elements prevent their states from attaining extremal values, and thus values of (Formula presented) can be used with caution
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The value of (Formula presented) is theoretically bounded by (Formula presented): For (Formula presented) divergencies in the values of (Formula presented) might be found. In practical terms, however, it is found that interactions among the elements prevent their states from attaining extremal values, and thus values of (Formula presented) can be used with caution.
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