Mondal, Arghya ; Sinha, Sudeshna ; Kurths, Juergen (2008) Rapidly switched random links enhance spatiotemporal regularity Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 78 (6). 066209 _1-066209 _5. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v78/i6/e066209
Related URL: http://dx.doi.org/10.1103/PhysRevE.78.066209
Abstract
We investigate the spatiotemporal properties of a lattice of chaotic maps whose coupling connections are rewired to random sites with probability p. Keeping p constant, we change the random links at different frequencies in order to discern the effect (if any) of the time dependence of the links. We observe two different regimes in this network: (i) when the network is rewired slowly, namely, when the random connections are quite static, the dynamics of the network is spatiotemporally chaotic and (ii) when these random links are switched around fast, namely, the network is rewired frequently, one obtains a spatiotemporal fixed point over a large range of coupling strengths. We provide evidence of a sharp transition from a globally attracting spatiotemporal fixed point to spatiotemporal chaos as the rewiring frequency is decreased. Thus, in addition to geometrical properties such as the fraction of random links in the network, dynamical information on the time dependence of these links is crucial in determining the spatiotemporal properties of complex dynamical networks.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 60937 |
Deposited On: | 12 Sep 2011 09:44 |
Last Modified: | 18 May 2016 10:52 |
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