Explosive transitions induced by interdependent contagion-consensus dynamics in multiplex networks
arXiv:1901.03974 · doi:10.1103/PhysRevE.99.062311
Abstract
We introduce a model to study the delicate relation between the spreading of information and the formation of opinions in social systems. For this purpose, we propose a two-layer multiplex network model in which consensus dynamics takes place in one layer while information spreading runs across the other one. The two dynamical processes are mutually coupled by considering that the control parameters that govern the dynamical evolution of the state of the nodes inside each layer depend on the dynamical states at the other layer. In particular, we explore the scenario in which consensus is favored by the common adoption of information while information spreading is boosted between agents sharing similar opinions. Numerical simulations together with some analytical results point out that, when the coupling between the dynamics of the two layers is strong enough, a double explosive transition, i.e. an explosive transition both for consensus dynamics and for the information spreading appears. Such explosive transitions lead to bi-stability regions in which the consensus-informed stated and the disagreement-ignorant states are both stable solutions.
7 pages, 3 figures
References in corpus (33)
- Emergence of scaling in random networks
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Epidemic spreading in scale-free networks
- Catastrophic cascade of failures in interdependent networks
- Statistical physics of social dynamics
- Epidemic processes in complex networks
- Synchronization in complex networks
- Multilayer Networks
- The structure and dynamics of multilayer networks
- Dynamical interplay between awareness and epidemic spreading in multiplex networks
- Diffusion dynamics on multiplex networks
- Mathematical Formulation of Multi-Layer Networks
- Simplicial models of social contagion
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Spontaneous synchrony in power-grid networks
- Explosive Synchronization Transitions in Scale-free Networks
- Discrete-time Markov chain approach to contact-based disease spreading in complex networks
- Paths to Synchronization on Complex Networks
- Explosive synchronization in adaptive and multilayer networks
- Avalanche Collapse of Interdependent Network
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Contact-based Social Contagion in Multiplex Networks
- Dynamic interdependence and competition in multilayer networks
- Collective phenomena emerging from the interactions between dynamical processes in multiplex networks
- Synchronization in networks with multiple interaction layers
- The Emergence of Consensus: A Primer
- A framework for epidemic spreading in multiplex networks of metapopulations
- Non-perturbative heterogeneous mean-field approach to epidemic spreading in complex networks
- Disease Localization in Multilayer Networks
- Annealed and Mean-Field formulations of Disease Dynamics on Static and Adaptive Networks
- Coevolution of synchronization and cooperation in costly networked interactions
- Interplay between cost and benefits triggers nontrivial vaccination uptake
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- Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs
- Tipping induced by multiplexing on two layer networks
- Complex social contagion induces bistability on multiplex networks
- Optimizing synchronization in multiplex networks of phase oscillators
- Pathways to explosive transitions in interacting contagion dynamics