Growth, collapse, and self-organized criticality in complex networks
Yafeng Wang1, Huawei Fan1, Weijie Lin1,2
1School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
Scientific Reports
|April 16, 2016
Summary
As complex networks grow, they can reach a critical state. Adding one node can then trigger a synchronization collapse across the entire network, a phenomenon indicating self-organized criticality.
Area of Science:
- Complex dynamical systems
- Sustainability science and engineering
- Network science
Background:
- Network growth is common in natural and technological systems.
- Understanding dynamical behaviors in growing networks is crucial.
- Maintaining synchronization stability in expanding networks is a key challenge.
Purpose of the Study:
- To investigate if complex networks of nonlinear oscillators can maintain synchronization stability during expansion.
- To identify the conditions under which synchronization stability is lost in growing networks.
Main Methods:
- Analysis of network growth dynamics in nonlinear oscillator systems.
- Statistical analysis of synchronization collapse events.
- Eigenvector analysis to uncover underlying dynamical mechanisms.
Main Results:
- Growing networks can evolve into a critical state.
- Addition of a single node can trigger cascading synchronization loss (avalanches).
- Synchronization collapse size follows an algebraic distribution, suggesting self-organized criticality.
Conclusions:
- Complex networks can exhibit synchronization collapse as they grow.
- Self-organized criticality plays a role in synchronization stability loss.
- The phenomenon is general across various complex network models.
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