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Collective synchronization through noise cancellation.

Jeremy Worsfold1, Tim Rogers1

  • 1Department of Mathematical Sciences, Centre for Mathematical Biology, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom.

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|March 16, 2024
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Summary
This summary is machine-generated.

Researchers discovered a new way to synchronize oscillators using only noise coupling. This method, unlike previous ones, can lead to ordered states from random inputs, offering novel insights into synchronization mechanisms.

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Area of Science:

  • Physics
  • Complex Systems
  • Nonlinear Dynamics

Background:

  • Global synchronization in oscillator populations is typically achieved through deterministic coupling or common forcing.
  • Independent noise usually disrupts synchronization, promoting disorder and stabilizing incoherent states.

Purpose of the Study:

  • To investigate the novel mechanism of synchronization induced purely by noise coupling in oscillator populations.
  • To analyze the properties and phase diagram of a general model based on noise coupling.

Main Methods:

  • Development and analysis of a general model for purely noise-coupled oscillators.
  • Characterization of linear response, phase diagrams, stationary states, and low-dimensional dynamics.
  • Investigation of two minimal cases of noise coupling, including dependence on initial conditions.

Main Results:

  • The linear response around incoherence is identical to the Kuramoto model but results in binary phase locking, not full coherence.
  • A detailed phase diagram and characterization of stationary states were established.
  • The second case demonstrated a connection between the final synchronized state and the system's initial conditions.

Conclusions:

  • Purely noise-coupled oscillators can induce global synchronization, challenging the traditional understanding of noise's role.
  • This mechanism exhibits unique behaviors, including binary phase locking and dependence on initial conditions.
  • The findings open new avenues for understanding and controlling synchronization in complex systems.