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Mathematics - Applications | Adaptive Networks

Adaptive Networks

Theory, Models and Applications

Gross, Thilo, Sayama, Hiroki (Eds.)

Jointly published with NECSI

2009, XIX, 332 p. 13 illus. in color.

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  • This volume is a state-of-the-art introduction to and survey on adaptive networks, combining aspects of the evolution of networks and dynamics on networks

With adaptive, complex networks, the evolution of the network topology and the dynamical processes on the network are equally important and often fundamentally entangled.

Recent research has shown that such networks can exhibit a plethora of new phenomena which are ultimately required to describe many real-world networks. Some of those phenomena include robust self-organization towards dynamical criticality, formation of complex global topologies based on simple, local rules, and the spontaneous division of "labor" in which an initially homogenous population of network nodes self-organizes into functionally distinct classes. These are just a few.

This book is a state-of-the-art survey of those unique networks. In it, leading researchers set out to define the future scope and direction of some of the most advanced developments in the vast field of complex network science and its applications.

Content Level » Research

Keywords » adaptive complex networks - complex networks - dynamical network formation - dynamical optimization and synchronization - self-organized criticality

Related subjects » Applications - Complexity - Database Management & Information Retrieval

Table of contents 

I Real-World Examples of Adaptive Networks.- Social Group Dynamics in Networks.- Time-Dependent Complex Networks: Dynamic Centrality, Dynamic Motifs, and Cycles of Social Interactions.- Adaptive Biological Networks.- Adaptive Networks.- II Self-Organization of Adaptive Networks.- Self-Organized Criticality and Adaptation in Discrete Dynamical Networks.- Self-Organization and Complex Networks.- Self-Organization of Network Structure in Coupled-Map Systems.- Dynamical Optimization and Synchronization in Adaptive Complex Networks.- III Contact Processes and Epidemiology on Adaptive Networks.- Contact Processes and Moment Closure on Adaptive Networks.- Noise Induced Dynamics in Adaptive Networks with Applications to Epidemiology.- IV Social Games on Adaptive Networks.- A Dynamic Model of Social Network Formation.- Evolutionary Games in Self-Organizing Populations.- The Diplomat’s Dilemma: Maximal Power for Minimal Effort in Social Networks.- V Graph-Rewriting-Based Approaches.- Graph-Rewriting Automata as a Natural Extension of Cellular Automata.- Generative Network Automata: A Generalized Framework for Modeling Adaptive Network Dynamics Using Graph Rewritings.

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