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State-dependent vulnerability of synchronization.

Everton S Medeiros1,2, Rene O Medrano-T3, Iberê L Caldas1

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Summary
This summary is machine-generated.

Complex networks exhibit state-dependent vulnerability in synchronization. Disturbances can either disrupt or restore synchronization based on the network

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Area of Science:

  • Complex networks
  • Nonlinear dynamics
  • Electronic circuit simulations

Background:

  • Synchronization in complex networks is crucial for many systems.
  • Understanding network vulnerability to perturbations is essential.
  • Previous studies often assume state-independent responses.

Purpose of the Study:

  • To investigate the state-dependent vulnerability of synchronization in complex networks.
  • To analyze how perturbations affect synchronization outcomes at different network states.
  • To identify the underlying mechanisms causing this vulnerability.

Main Methods:

  • Numerically simulating complex networks of electronic circuits.
  • Systematically applying perturbations to network units at various trajectory states.
  • Quantifying synchronization changes and defining a safety index between states.

Main Results:

  • Synchronization vulnerability is highly dependent on the network's current state.
  • Perturbations can unpredictably either desynchronize or restore synchronization.
  • A safety index reveals complex interactions between consecutive states.

Conclusions:

  • The observed vulnerability stems from an unstable chaotic set within the system's state space.
  • Network synchronization is not uniformly robust and exhibits state-specific fragility.
  • This highlights the need for state-aware control strategies in complex networks.