PMID: 11909228Mar 23, 2002Paper

Turbulence in small-world networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Mario G Cosenza, K Tucci

Abstract

The transition to turbulence via spatiotemporal intermittency is investigated in the context of coupled maps defined on small-world networks. The local dynamics is given by the Chaté-Manneville minimal map previously used in studies of spatiotemporal intermittency in ordered lattice. The critical boundary separating laminar and turbulent regimes is calculated on the parameter space of the system, given by the coupling strength and the rewiring probability of the network. Windows of relaminarization are present in some regions of the parameter space. New features arise in small-world networks; for instance, the character of the transition to turbulence changes from second-order to a first-order phase transition at some critical value of the rewiring probability. A linear relation characterizing the change in the order of the phase transition is found. The global quantity used as order parameter for the transition also exhibits nontrivial collective behavior for some values of the parameters. These models may describe several processes occurring in nonuniform media where the degree of disorder can be continuously varied through a parameter.

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Citations

Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Safia Yonker, Renate Wackerbauer
Dec 31, 2016·Physical Review Letters·Kenji Shinoda, Kunihiko Kaneko
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maruthi Pradeep Kanth JampaSudeshna Sinha
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zahera Jabeen, Sudeshna Sinha
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K TucciO Alvarez-Llamoza
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Swarup PoriaSudeshna Sinha
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C EcheverriaM G Cosenza
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arghya MondalJuergen Kurths

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