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Cascading failures in coupled map lattices.

Xiao Fan Wang1, Jian Xu

  • 1Department of Automation, Shanghai Jiao Tong University, Shanghai 200030, China. sfwang@sjtu.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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Cascading failures in complex networks are more likely in small-world and scale-free coupled map lattices compared to globally coupled ones. This highlights the impact of network topology on system stability and failure propagation.

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.

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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.