Cascading failures in coupled map lattices

Area of Science:

• Complex systems science
• Network science
• Statistical physics

Background:

• Large cascades triggered by initial shocks are prevalent in complex networks.
• Coupled map lattices (CMLs) serve as established dynamical models for complex systems.
• Understanding failure dynamics is crucial for network resilience.

Purpose of the Study:

• To investigate the occurrence and characteristics of cascading failures in coupled map lattices with varying network topologies.
• To compare the susceptibility to cascading failures across different CML network structures.

Main Methods:

• Simulations of coupled map lattices with distinct network topologies: global, small-world, and scale-free.
• Analysis of failure initiation and propagation dynamics under external perturbations.

Main Results:

• Cascading failures are significantly more probable in small-world and scale-free coupled map lattices.
• Network topology critically influences the ease with which large cascades are triggered and sustained.
• Globally coupled lattices exhibit greater resistance to cascading failures compared to small-world and scale-free networks.

Conclusions:

• The topology of complex networks, specifically small-world and scale-free structures, substantially increases the likelihood of cascading failures.
• Findings underscore the importance of network architecture in determining system robustness and vulnerability.
• Results provide insights into the mechanisms of failure propagation in interconnected systems.