Collective chaos induced by structures of complex networks

Huijie Yang, Fangcui Zhao and Binghong Wang

Physica A: Statistical Mechanics and its Applications, 2006, vol. 364, issue C, 544-556

Abstract: Mapping a complex network of N coupled identical oscillators to a quantum system, the nearest neighbor level spacing (NNLS) distribution is used to identify collective chaos in the corresponding classical dynamics on the complex network. The classical dynamics on an Erdos–Renyi network with the wiring probability pER⩽1/N is in the state of collective order, while that on an Erdos–Renyi network with pER>1/N in the state of collective chaos. The dynamics on a WS Small-world complex network evolves from collective order to collective chaos rapidly in the region of the rewiring probability pr∈[0.0,0.1], and then keeps chaotic up to pr=1.0. The dynamics on a Growing Random Network (GRN) is in a special state deviates from order significantly in a way opposite to that on WS small-world networks. Each network can be measured by a couple values of two parameters (β,η).

Keywords: Complex networks; Collective chaos; Spectra statistics (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:364:y:2006:i:c:p:544-556

DOI: 10.1016/j.physa.2005.09.050

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