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Suppression of deterministic and stochastic extreme desynchronization events using anticipated synchronization.

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Extreme events in coupled oscillatory systems can be predicted and prevented using an auxiliary system with negative delayed feedback. This method suppresses large desynchronization events before they occur.

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Area of Science:

  • Nonlinear dynamics
  • Chaos theory
  • Complex systems

Background:

  • Coupled oscillatory systems are prone to extreme events like desynchronization due to parameter mismatches or noise.
  • Predicting and suppressing these extreme events is crucial for system stability and reliability.

Purpose of the Study:

  • To demonstrate the anticipation and suppression of extreme events in coupled oscillatory systems.
  • To utilize an auxiliary system for predicting and mitigating large desynchronization events.

Main Methods:

  • Numerical simulations of a main system coupled to an auxiliary system with negative delayed feedback.
  • Employing a master-slave configuration with two electronic oscillators in each system.
  • Using the auxiliary system's predictive capabilities to apply corrective resets to the main system.

Main Results:

  • Extreme events, characterized as large sporadic desynchronization, were observed in the coupled system.
  • The auxiliary system successfully predicted the main system's dynamics under specific conditions.
  • Efficient suppression of extreme events was achieved through direct corrective resets.

Conclusions:

  • Extreme events in coupled oscillatory systems can be anticipated and suppressed proactively.
  • A negative delayed feedback auxiliary system offers a viable strategy for event prediction and control.
  • This approach enhances the stability and predictability of complex oscillatory networks.