Noise in Coevolving Networks

Abstract

Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at some critical rewiring. We study the robustness of these transitions under two distinct ways of introducing noise. Noise affecting all the nodes destroys the absorbing-fragmentation transition, giving rise in finite-size systems to two regimes: bimodal magnetisation and dynamic fragmentation. Noise Targeting a fraction of nodes preserves the transitions but introduces shattered fragmentation with its characteristic fraction of isolated nodes and one or two giant components. Both the lack of absorbing state for homogenous noise and the shift in the absorbing transition to higher rewiring for targeted noise are supported by analytical approximations.

20 pages

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Cited by in corpus (22)

• The noisy voter model on complex networks
• Analytical and numerical study of the non-linear noisy voter model on complex networks
• Fragmentation transitions in a coevolving nonlinear voter model
• Stochastic pair approximation treatment of the noisy voter model
• Ordering dynamics in the voter model with aging
• First-passage distributions for the one-dimensional Fokker-Planck equation
• Aging-induced continuous phase transition
• Herding and idiosyncratic choices: Nonlinearity and aging-induced transitions in the noisy voter model
• Dynamical origins of the community structure of multi-layer societies
• A multi-state voter model with imperfect copying
• Coupled dynamics of node and link states in complex networks: A model for language competition
• Coevolving nonlinear voter model with triadic closure
• Rescue of endemic states in interconnected networks with adaptive coupling
• Emergence of complex structures from nonlinear interactions and noise in coevolving networks
• Threshold cascade dynamics on coevolving networks
• Aging in some opinion formation models: a comparative study
• Spontaneous symmetry breaking of active phase in coevolving nonlinear voter model
• Network coevolution drives segregation and enhances Pareto optimal equilibrium selection in coordination games
• UniGO: A Unified Graph Neural Network for Modeling Opinion Dynamics on Graphs
• The Evolving Voter Model on Thick Graphs
• Coevolutionary Dynamics of Group Interactions: Coevolving Nonlinear Voter Models
• Aging in coevolving voter models