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Tweezers for Chimeras in Small Networks.

Iryna Omelchenko1, Oleh E Omel'chenko2, Anna Zakharova1

  • 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.

Physical Review Letters
|April 2, 2016
PubMed
Summary

We developed a control scheme to stabilize chimera states in small networks. This method addresses the challenge of short lifetimes and drifting positions, aiding experimental observations.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems

Background:

  • Chimera states exhibit coexisting coherent and incoherent dynamics in nonlocally coupled oscillator systems.
  • Observing chimera states in small networks is challenging due to their instability and spatial drift.

Purpose of the Study:

  • To propose a novel control scheme for stabilizing chimera states in small networks.
  • To overcome limitations in observing chimera states in experimental settings.

Main Methods:

  • Development of a control scheme designed to fix the spatial position of chimera states.
  • Application of the control scheme to systems of nonlocally coupled identical oscillators in small networks.

Main Results:

  • The proposed control scheme successfully stabilizes and fixes the position of chimera states.

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  • The method enhances the observability of chimera states in small network configurations.

    • Conclusions:

    • The developed control scheme offers a viable method for stabilizing chimera states in small networks.
    • This technique could be instrumental for experimental realization and study of chimera states.