Dynamical properties of model communication networks

Abstract

We study the dynamical properties of a collection of models for communication processes, characterized by a single parameter $\xi$ representing the relation between information load of the nodes and its ability to deliver this information. The critical transition to congestion reported so far occurs only for $\xi =1$. This case is well analyzed for different network topologies. We focus of the properties of the order parameter, the susceptibility and the time correlations when approaching the critical point. For $\xi <1$ no transition to congestion is observed but it remains a cross-over from a low-density to a high-density state. For $\xi >1$ the transition to congestion is discontinuous and congestion nuclei arise.

8 pages, 8 figures

References in corpus (1)

• Statistical mechanics of complex networks

Cited by in corpus (35)

• Cascade-based attacks on complex networks
• A model for cascading failures in complex networks
• Optimal network topologies for local search with congestion
• Improved routing strategies for Internet traffic delivery
• Dynamics of jamming transitions in complex networks
• Integrating static and dynamic information for routing traffic
• Explosive Phenomena in Complex Networks
• Traffic congestion in interconnected complex networks
• Transport on Complex Networks: Flow, Jamming and Optimization
• An adaptive routing strategy for packet delivery in complex networks
• An efficient approach of controlling traffic congestion in scale-free networks
• The resilience of interdependent transportation networks under targeted attack
• Impact of community structure on information transfer
• Traffic dynamics in scale-free networks with limited packet-delivering capacity
• Comprehensive routing strategy on multilayer networks
• Congestion diffusion and decongestion strategy in networked traffic
• The Dynamics of Internet Traffic: Self-Similarity, Self-Organization, and Complex Phenomena
• The effect of bandwidth in scale-free network traffic
• Local Empathy provides Global Minimization of Congestion in Communication Networks
• How Many Nodes are Effectively Accessed in Complex Networks?
• Decongestion of urban areas with hotspot-pricing
• Effect of shortest path multiplicity on congestion of multiplex networks
• Preferential Behaviour and Scaling in Diffusive Dynamics on Networks
• Transportation dynamics on coupled networks with limited bandwidth
• Random Birth-and-Death Networks
• Controlling congestion on complex networks: fairness, efficiency and network structure
• The role of adjacency matrix degeneration in maximum entropy weighted network models
• The Gradient Mechanism in a Communication Network
• Transmission of packets on a hierarchical network: Statistics and explosive percolation
• Enhancing Transport Efficiency by Hybrid Routing Strategy
• Theoretical approach and impact of correlations on the critical packet generation rate in traffic dynamics on complex networks
• On the decentralized navigation of multiple packages on transportation networks
• Spectral properties of disordered fully-connected graphs
• Study of dynamic and static routing for improvement of the transportation efficiency on small complex networks
• The Degree Distribution of Random Birth-and-Death Network with Network Size Decline