On the universality of the scaling of fluctuations in traffic on complex networks
arXiv:physics/0602077 · doi:10.1103/PhysRevLett.96.218702
Abstract
We study the scaling of fluctuations with the mean of traffic in complex networks using a model where the arrival and departure of "packets" follow exponential distributions, and the processing capability of nodes is either unlimited or finite. The model presents a wide variety of exponents between 1/2 and 1 for this scaling, revealing their dependence on the few parameters considered, and questioning the existence of universality classes. We also report the experimental scaling of the fluctuations in the Internet for the Abilene backbone network. We found scaling exponents between 0.71 and 0.86 that do not fit with the exponent 1/2 reported in the literature.
4 pages, 4 figures
References in corpus (2)
Cited by in corpus (19)
- Fluctuation scaling in complex systems: Taylor's law and beyond
- Congestion phenomena on complex networks
- Scaling breakdown in flow fluctuations on complex networks
- Resource allocation pattern in infrastructure networks
- Impact of community structure on information transfer
- Towards a temporal network analysis of interactive WiFi users
- Fluctuation-driven capacity distribution in complex networks
- Mitigating long queues and waiting times with service resetting
- Endogenous and exogenous dynamics in the fluctuations of capital fluxes: An empirical analysis of the Chinese stock market
- Preferential Behaviour and Scaling in Diffusive Dynamics on Networks
- Fluctuations and Pseudo Long Range Dependence in Network Flows: A Non-Stationary Poisson Process Model
- Fluctuation of the download network
- Joint assessment of density correlations and fluctuations for analysing spatial tree patterns
- Taylor's Law of temporal fluctuation scaling in stock illiquidity
- Network heterogeneity and node capacity lead to heterogeneous scaling of fluctuations in random walks on graphs
- Random Walks in Local Dynamics of Network Losses
- Entangled quantum cellular automata, physical complexity, and Goldilocks rules
- Temporal Correlations of Local Network Losses
- Waveform Proportionality and Taylor's Law Induced by Synchronization of Periodic and Chaotic Oscillators