Self-Organised Critical Dynamics as a Key to Fundamental Features of Complexity in Physical, Biological, and Social Networks

@article{Tadi2021SelfOrganisedCD,
  title={Self-Organised Critical Dynamics as a Key to Fundamental Features of Complexity in Physical, Biological, and Social Networks},
  author={Bosiljka Tadi{\'c} and Roderick Melnik},
  journal={Dynamics},
  year={2021}
}
Studies of many complex systems have revealed new collective behaviours that emerge through the mechanisms of self-organised critical fluctuations. Subject to the external and endogenous driving forces, these collective states with long-range spatial and temporal correlations often arise from the intrinsic dynamics with the threshold nonlinearity and geometry-conditioned interactions. The self-similarity of critical fluctuations enables us to describe the system using fewer parameters and… 
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References

SHOWING 1-10 OF 125 REFERENCES
Self-organised criticality and emergent hyperbolic networks: blueprint for complexity in social dynamics
  • B. Tadić
  • Computer Science
    European Journal of Physics
  • 2019
TLDR
The self-organised criticality as the acting mechanism in the social knowledge-sharing dynamics and the emergence of the hyperbolic geometry of the co-evolving networks that underlie these stochastic processes are described.
Self-Organized Criticality in the Brain
TLDR
The precise interactions between up-states, nested oscillations, and avalanches in superficial layers of the cortex provide compelling evidence for SOC in the brain.
Generalised Sandpile Dynamics on Artificial and Real-World Directed Networks
TLDR
A novel avalanche-size exponent τ ≈ 1.87 is found when the generalised sandpile dynamics evolves on the real-world Japanese inter-firm network.
Power laws and Self-Organized Criticality in Theory and Nature
Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes.
TLDR
This analysis of the collective dynamics of a large ensembles of dynamical units with nonpairwise interactions, namely coupled phase oscillators with three-way interactions, sheds light on the complexity that can arise in physical systems with simplicial interactions like the human brain and the role that simplified interactions play in storing information.
Neurobiologically Realistic Determinants of Self-Organized Criticality in Networks of Spiking Neurons
TLDR
It is found that spike-timing-dependent synaptic plasticity enabled a rapid phase transition from random subcritical dynamics to ordered supercritical dynamics, and modular connectivity and low wiring cost broadened this transition, and enabled a regime indicative of self-organized criticality.
Physical foundations of biological complexity
TLDR
It is shown that emergence of complex features in biological evolution typically, if not always, is triggered by frustration that is caused by competing interactions at different organizational levels, which leads to SOC, which represents the optimal conditions for the emergence of complexity.
Hidden geometries in networks arising from cooperative self-assembly
TLDR
The results show that higher Q-connectedness of the appearing simplicial complexes can arise due to only geometric factors and that it can be efficiently modulated by changing the chemical potential and the polydispersity of the binding simplexes.
Hysteresis and synchronization processes of Kuramoto oscillators on high-dimensional simplicial complexes with competing simplex-encoded couplings.
TLDR
These findings shed new light on the mechanisms by which the high-dimensional simplicial complexes in natural systems, such as human connectomes, can modulate their native synchronization processes.
Self-organized criticality and pattern emergence through the lens of tropical geometry
TLDR
The discovery of a tropical model with self-organized criticality (SOC) behavior is reported, which is continuous, in contrast to all known models of SOC, and is a certain scaling limit of the sandpile model, the first and archetypical model of SOC.
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