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Increasing the synchronization stability in complex networks.

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Summary
This summary is machine-generated.

We developed an optimization method to enhance synchronization stability in coupled phase oscillators facing Gaussian noise. This method increases the mean first hitting time, improving system resilience against disturbances.

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Area of Science:

  • Physics
  • Dynamical Systems
  • Network Science

Background:

  • Coupled phase oscillators are fundamental in modeling synchronized phenomena.
  • Stochastic disturbances can disrupt synchronization, impacting system stability.
  • Existing metrics may not fully capture synchronization resilience.

Purpose of the Study:

  • To enhance synchronization stability in coupled phase oscillators under stochastic disturbances.
  • To introduce a novel optimization method for improving synchronization resilience.
  • To define a new metric for assessing synchronization stability.

Main Methods:

  • Modeling disturbances using Gaussian noise.
  • Utilizing mean first hitting time to measure synchronization stability.
  • Developing an optimization method based on invariant probability distribution.
  • Defining a new metric: probability of the state being absent from a secure domain.

Main Results:

  • The proposed optimization method significantly increases mean first hitting time.
  • Vulnerable network edges leading to desynchronization are effectively identified.
  • The new metric accurately reflects the impact of system parameters and disturbance strength.
  • Optimizing solely for order parameter or phase cohesiveness can decrease synchronization stability.

Conclusions:

  • The novel optimization method enhances synchronization stability in noisy oscillator systems.
  • The new metric provides a more comprehensive assessment of synchronization resilience.
  • Identifying vulnerable edges is crucial for preventing system desynchronization.