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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

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Clogging and self-organized criticality in complex networks.

Ginestra Bianconi¹, Matteo Marsili

¹The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 5, 2004

Summary

This study introduces a network model where local failures trigger self-organized criticality, leading to scale-free or single-scale networks. The model demonstrates how network structure evolves through rewiring avalanches and can collapse suddenly.

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Area of Science:

Complex systems
Network science
Statistical physics

Background:

Dynamical networks are susceptible to local breakdowns from imbalances or congestion.
Understanding failure propagation is crucial for network resilience.

Purpose of the Study:

To propose a simple, stylized model for describing failure propagation in dynamical networks.
To investigate the emergence of self-organized criticality and network structure evolution.
To analyze the relationship between network properties and critical states.

Main Methods:

Development of a simple dynamical network model.
Simulation of rewiring processes and avalanches.
Characterization of network statistical properties.
Computation of critical exponents.

Main Results:

The model converges to a self-organized critical state.
Network rewiring avalanches lead to self-organization.
Depending on parameters, single-scale or scale-free networks emerge.
A sudden collapse to a complete network is observed.

Conclusions:

The model provides insights into how dynamical networks self-organize under stress.
Failure propagation mechanisms can lead to diverse network topologies.
The study highlights the potential for sudden, catastrophic network transitions.