Analytical calculation of fragmentation transitions in adaptive networks
arXiv:1012.1213 · doi:10.1103/PhysRevE.83.035101
Abstract
In adaptive networks fragmentation transitions have been observed in which the network breaks into disconnected components. We present an analytical approach for calculating the transition point in general adaptive network models. Using the example of an adaptive voter model, we demonstrate that the proposed approach yields good agreement with numerical results.
4 pages, 4 figures
References in corpus (10)
- Critical phenomena in complex networks
- Adaptive Coevolutionary Networks: A Review
- Nonequilibrium phase transition in the coevolution of networks and opinions
- Generic Absorbing Transition in Coevolution Dynamics
- Consensus formation on adaptive networks
- Adaptive networks: coevolution of disease and topology
- Analytical Solution of the Voter Model on Disordered Networks
- Who's talking first? Consensus or lack thereof in coevolving opinion formation models
- Enhanced vaccine control of epidemics in adaptive networks
- A homoclinic route to asymptotic full cooperation in adaptive networks and its failure
Cited by in corpus (38)
- Unification of theoretical approaches for epidemic spreading on complex networks
- Modeling complex systems with adaptive networks
- Dynamical Systems on Networks: A Tutorial
- An adaptive voter model on simplicial complexes
- Adaptive-network models of swarm dynamics
- Perspectives on adaptive dynamical systems
- Early fragmentation in the adaptive voter model on directed networks
- Macroscopic description of complex adaptive networks co-evolving with dynamic node states
- Fragmentation transitions in a coevolving nonlinear voter model
- Zealotry Effects on Opinion Dynamics in the Adaptive Voter Model
- Consensus time and conformity in the adaptive voter model
- General coevolution of topology and dynamics in networks
- Fragmentation transitions in multi-state voter models
- Scale-Free Structure Emerging from Co-Evolution of a Network and the Concentration of Diffusive Resources on It
- Phase transition in a coevolving network of conformist and contrarian voters
- Opinion diversity and community formation in adaptive networks
- A multi-opinion evolving voter model with infinitely many phase transitions
- Exploring the adaptive voter model dynamics with a mathematical triple jump
- Transitivity reinforcement in the coevolving voter model
- Adaptive network models of collective decision making in swarming systems
- Coupling of link- and node-ordering in the coevolving voter model
- Fitting In and Breaking Up: A Nonlinear Version of Coevolving Voter Models
- Spontaneous symmetry breaking of active phase in coevolving nonlinear voter model
- Polyadic Opinion Formation: The Adaptive Voter Model on a Hypergraph
- A dual modelling of evolving political opinion networks
- Mean-field models of dynamics on networks via moment closure: an automated procedure
- Asymmetric coevolutionary voter dynamics
- Detecting and Describing Dynamic Equilibria in Adaptive Networks
- Moment-Closure Approximations for Discrete Adaptive Networks
- Local Symmetry and Global Structure in Adaptive Voter Models
- Social Fragmentation Transitions in Large-Scale Parameter Sweep Simulations of Adaptive Social Networks
- Persistence of complex food webs in metacommunities
- Fragmentation instability in aggregating systems
- Macroscopic approximation methods for the analysis of adaptive networked agent-based models: The example of a two-sector investment model
- Beyond Social Fragmentation: Coexistence of Cultural Diversity and Structural Connectivity Is Possible with Social Constituent Diversity
- Structural transitions induced by adaptive rewiring in networks with fixed states
- Largenet2: an object-oriented programming library for simulating large adaptive networks
- Design of Self-Organising Networks