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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Network science

Background:

  • Relay synchronization is a collective state observed in interacting oscillators.
  • It involves uncoupled units synchronizing through mismatched relay nodes.
  • Previously, it was primarily studied in simple chain motifs.

Purpose of the Study:

  • To demonstrate relay synchronization in larger and arbitrary network topologies.
  • To investigate its emergence in networks of chaotic systems.
  • To show how relay synchronization enhances overall network synchronization.

Main Methods:

  • Analysis of network topologies beyond simple chains.
  • Modeling of chaotic systems with mismatched relay nodes.
  • Mathematical and computational simulations of synchronization phenomena.

Main Results:

  • Relay synchronization is not limited to simple chain motifs.
  • The phenomenon can emerge in complex and arbitrary network structures.
  • Mismatched relay nodes in chaotic networks enhance synchronization.

Conclusions:

  • Relay synchronization is a robust phenomenon applicable to diverse network structures.
  • It plays a crucial role in enhancing collective synchronization in complex systems.
  • This finding expands the understanding of synchronization in interconnected dynamical systems.