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Related Experiment Videos

Desynchronization waves and localized instabilities in oscillator arrays.

Juan G Restrepo1, Edward Ott, Brian R Hunt

  • 1Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA. juanga@math.umd.edu

Physical Review Letters
|September 28, 2004
PubMed
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We found that random variations in connection strength within oscillator networks can lead to localized instability. This instability spreads, causing widespread desynchronization across the entire network.

Area of Science:

  • Physics
  • Network Science
  • Dynamical Systems

Background:

  • Coupled oscillator systems are fundamental in various scientific fields.
  • Understanding network dynamics with heterogeneous connections is crucial for complex systems.
  • Desynchronization transitions in networks are key phenomena to study.

Purpose of the Study:

  • To investigate the impact of randomly heterogeneous connection strengths in coupled periodic oscillators.
  • To identify patterns of desynchronization at the transition point.
  • To analyze the mechanism of instability propagation in regular networks.

Main Methods:

  • Utilizing the master stability function method.
  • Analyzing a ring network of coupled periodic oscillators.

Related Experiment Videos

  • Examining Anderson localization of instability modes.

    • Main Results:

    • Demonstrated Anderson localization of instability modes.
    • Showed that localized instability generates desynchronization waves.
    • Observed desynchronization spreading throughout the entire array.
    • Identified patterns at the desynchronization transition.

    Conclusions:

    • Heterogeneous connection strengths can lead to localized instabilities.
    • These localized instabilities can trigger widespread network desynchronization.
    • Findings are applicable to other regular networks with heterogeneous connections.