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Related Experiment Videos

Repulsive synchronization in an array of phase oscillators.

L S Tsimring1, N F Rulkov, M L Larsen

  • 1Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402, USA.

Physical Review Letters
|August 11, 2005
PubMed
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Repulsive coupling in phase oscillator arrays can lead to synchronization with zero mean field. However, non-identical oscillators lose phase locking in large globally coupled systems, but maintain it in locally coupled networks with strong coupling.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Phase oscillators are fundamental models in physics and neuroscience.
  • Coupling interactions dictate the collective behavior of oscillator networks.
  • Repulsive coupling introduces unique dynamics distinct from attractive coupling.

Purpose of the Study:

  • To investigate the synchronization dynamics of repulsively coupled phase oscillator arrays.
  • To analyze the influence of network topology (global vs. local coupling) on phase locking.
  • To determine the conditions under which phase locking is preserved or destroyed in non-identical oscillator systems.

Main Methods:

  • Simulations of repulsively coupled phase oscillator arrays.
  • Analysis of synchronization regimes and mean-field properties.

Related Experiment Videos

  • Investigation of phase locking phenomena in both globally and locally coupled networks.

    • Main Results:

    • Repulsive coupling in identical oscillators leads to synchronized regimes with zero mean field.
    • In large globally coupled arrays, non-identical oscillators lose phase locking regardless of coupling strength.
    • Phase locking is maintained in locally coupled networks of non-identical oscillators if the coupling is sufficiently strong.

    Conclusions:

    • Network topology significantly impacts the robustness of phase locking in repulsively coupled oscillator systems.
    • Strong local coupling can overcome frequency mismatch to achieve phase locking.
    • The findings offer insights into collective behavior in complex systems with inhibitory interactions.