Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
Stefan Bornholdt, Thimo Rohlf
Abstract
We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the critical value Kc =2 in the limit of large system size N. How this principle could generate self-organization in natural complex systems is discussed for two examples: neural networks and regulatory networks in the genome.
Create a lesson
Related papers
Orbital cancellation and reentrant localization in a quasiperiodic trimer ladder
Xin Wang, Pei-Jie Chang, Quanfeng Lu et al.
Quantum Localization in Geometric Complex Networks
Jan Lewenstein-Sanpera, Tobias Grass, M. Àngeles Serrano et al.
Eigenstate transitions and critical transport in 3D Aubry-André model
Pragna Das, Lev Vidmar, Miroslav Hopjan
Weyl's theorem and the theoretical origin of Boson peak in two-dimensional scalar spring network
Cunyuan Jiang
On physical implementability of reinforcement-learning-driven reasoning
Eiji Konishi
The Stone-Wales trefoil: a new topological defect in graphene
M. V. Kondrin, Y. B. Lebed, V. V. Brazhkin