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Controlling chimera states via minimal coupling modification.

Giulia Ruzzene1, Iryna Omelchenko2, Eckehard Schöll2

  • 1Department of Information and Communication Technologies, Universitat Pompeu Fabra, Carrer Roc Boronat 138, 08018 Barcelona, Catalonia, Spain.

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Researchers developed a novel method to control chimera states in oscillator networks by adjusting connectivity. A single pacemaker oscillator or even modifying one connection can precisely control these complex emergent behaviors.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Chimera states are complex emergent phenomena observed in networks of coupled oscillators, characterized by coexisting synchronized and desynchronized behavior.
  • Controlling chimera states is crucial for understanding and potentially harnessing complex network dynamics.

Purpose of the Study:

  • To propose and investigate a method for controlling chimera states in nonlocally coupled phase oscillator networks.
  • To identify the minimal modifications to network connectivity required for chimera state control.

Main Methods:

  • The study focuses exclusively on manipulating network connectivity to control chimera states.
  • A 'pacemaker' oscillator, with unidirectional links, is introduced as a mechanism to influence chimera formation and location.
  • The impact of minimal connectivity changes, such as altering a single connection's strength, is explored.

Main Results:

  • A pacemaker oscillator can induce chimera states under conditions where they would not spontaneously form.
  • The pacemaker effectively attracts the incoherent population of the chimera state, allowing for positional control.
  • Less invasive modifications, like adjusting the strength of a single connection, are sufficient to achieve chimera control.

Conclusions:

  • Network connectivity is a powerful tool for controlling complex emergent phenomena like chimera states.
  • Minimal, targeted modifications to network structure can significantly influence and control collective oscillator behavior.
  • The findings offer insights into the fundamental mechanisms governing synchronization and pattern formation in complex networks.