Self-organized bistability on scale-free networks
arXiv:2211.06111 · doi:10.1103/PhysRevE.106.044301
Abstract
A dynamical system approaching the first-order transition can exhibit a specific type of critical behavior known as self-organized bistability (SOB). It lies in the fact that the system can permanently switch between the coexisting states under the self-tuning of a control parameter. Many of these systems have a network organization that should be taken into account to understand the underlying processes in detail. In the present paper, we theoretically explore an extension of the SOB concept on the scale-free network under coupling constraints. As provided by the numerical simulations and mean-field approximation in the thermodynamic limit, SOB on scale-free networks originates from facilitated criticality reflected on both macro- and mesoscopic network scales. We establish that the appearance of switches is rooted in spatial self-organization and temporal self-similarity of the network's critical dynamics and replicates extreme properties of epileptic seizure recurrences. Our results, thus, indicate that the proposed conceptual model is suitable to deepen the understanding of emergent collective behavior behind neurological diseases.
References in corpus (16)
- Emergence of scaling in random networks
- Structure of Growing Networks: Exact Solution of the Barabasi--Albert's Model
- Universal Behavior of Load Distribution in Scale-free Networks
- Connectivity of Growing Random Networks
- Explosive Synchronization Transitions in Scale-free Networks
- Brain organization into resting state networks emerges at criticality on a model of the human connectome
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Dragon-kings: mechanisms, statistical methods and empirical evidence
- Frequency synchronization in random oscillator network
- Kuramoto model with frequency-degree correlations on complex networks
- Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization
- Self-Organized Bistability Associated With First-Order Phase Transitions
- On-off intermittency of thalamo-cortical oscillations in the electroencephalogram of rats with genetic predisposition to absence epilepsy
- On-Off Intermittency in Time Series of Spontaneous Paroxysmal Activity in Rats with Genetic Absence Epilepsy
- How to suppress undesired synchronization
- The topology of large Open Connectome networks for the human brain