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Reza Irankhah1, Mahtab Mehrabbeik1, Fatemeh Parastesh2

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This study introduces adaptive blinking coupling for chaotic systems. This novel method enhances synchronization by dynamically adjusting connections based on system variables, improving network adaptability and robustness.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Synchronization is crucial in chaotic systems for coordinated behavior.
  • Time-varying and blinking coupling schemes enhance network adaptability and robustness.
  • Existing methods lack dynamic adaptation to system state variations.

Purpose of the Study:

  • To introduce a novel adaptive blinking coupling method for chaotic systems.
  • To enhance synchronization in networks of chaotic systems.
  • To investigate the impact of dynamic coupling adjustments on synchronization performance.

Main Methods:

  • Developed an adaptive blinking coupling strategy based on the most influential variable's average disparity.
  • Normalized variable disparities to the synchronous solution's range for equitable coupling selection.
  • Tested the method on networks of Lorenz, Rössler, Chen, Hindmarsh-Rose, forced Duffing, and van der Pol systems.

Main Results:

  • Demonstrated substantial synchronization improvement using the adaptive blinking coupling.
  • Observed enhanced synchronization performance, particularly with the normalization process.
  • Confirmed the effectiveness across diverse chaotic systems.

Conclusions:

  • Adaptive blinking coupling significantly enhances synchronization in chaotic systems.
  • Dynamic adjustment and normalization of coupling are key to improved network performance.
  • The proposed method offers a robust approach for achieving synchronization in complex dynamical networks.