Sinha, Sudeshna (1992) Noisy uncoupled chaotic map ensembles violate the law of large numbers Physical Review Letters, 69 (23). pp. 3306-3309. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v69/i23/p3306_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.69.3306
Abstract
An ensemble of uncoupled chaotic maps with spatially synchronized parametric fluctuations violates the law of large numbers. This is clearly evident in the nonstatistical features of the mean field, whose mean-square deviation (MSD) does not fall as 1/N with increasing N, where N is the number of elements in the system. In fact the MSD saturates after a critical value of N=Nc. This amazing phenomenon is reminiscent of the nonstatistical behavior in globally coupled chaos. Interestingly though, there is no coupling in this system, and so the emergence of a subtle coherence in the global dynamics, as suggested by the existence of size-independent fluctuations, is very intriguing.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 60886 |
Deposited On: | 12 Sep 2011 09:34 |
Last Modified: | 18 May 2016 10:49 |
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