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In coupled nonlinear networks, a symmetry causes synchronization to abruptly shift. This synchronization metamorphosis leads to an explosive transition to remote synchronization in previously unconnected nodes.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Network science

Background:

  • Coupled nonlinear networks exhibit complex behaviors, including synchronization.
  • Symmetry plays a crucial role in dictating network dynamics.
  • Remote synchronization and explosive synchronization have been studied as separate phenomena.

Purpose of the Study:

  • To investigate the interplay between symmetry and synchronization in coupled nonlinear networks.
  • To uncover novel synchronization phenomena arising from symmetry-induced bifurcations.
  • To demonstrate the co-occurrence of explosive and remote synchronization in a single system.

Main Methods:

  • Analysis of coupled nonlinear network models.
  • Bifurcation analysis to identify critical parameter values.
  • Numerical simulations to observe synchronization dynamics.

Main Results:

  • A critical parameter change triggers an abrupt deterioration of synchronization in one subset of nodes.
  • Simultaneously, perfect synchronization emerges in a different, non-directly connected subset of nodes.
  • This phenomenon, termed synchronization metamorphosis, demonstrates an explosive transition to remote synchronization.

Conclusions:

  • Symmetry in coupled nonlinear networks can lead to synchronization metamorphosis.
  • Explosive onset of synchrony and remote synchronization can co-arise in the same system due to symmetry.
  • The interplay between nonlinear dynamics and symmetry generates surprising phenomena in physical systems.