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  Networks on the edge of chaos: Global feedback control of turbulence in oscillator networks

Gil, S., & Mikhailov, A. S. (2009). Networks on the edge of chaos: Global feedback control of turbulence in oscillator networks. Physical Review E, 79(02), 026219–1-026219–11. doi:10.1103/PhysRevE.79.026219.

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 Creators:
Gil, Santiago1, Author           
Mikhailov, Alexander S.1, Author           
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1Physical Chemistry, Fritz Haber Institute, Max Planck Society, ou_634546              

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Free keywords: chaos; feedback; nonlinear control systems; nonlinear dynamical systems; random processes; synchronisation; turbulence
 Abstract: Random networks of coupled phase oscillators with phase shifts in the interaction functions are considered. In such systems, extensive chaos (turbulence) is observed in a wide range of parameters. We show that, by introducing global feedback, the turbulence can be suppressed and a transition to synchronous oscillations can be induced. Our attention is focused on the transition scenario and the properties of patterns, including intermittent turbulence, which are found at the edge of chaos. The emerging coherent patterns represent various self-organized active (sub)networks whose size and behavior can be controlled.

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Language(s): eng - English
 Dates: 2009-02-25
 Publication Status: Issued
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 Rev. Type: Peer
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Title: Physical Review E
  Alternative Title : Phys. Rev. E
Source Genre: Journal
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Pages: - Volume / Issue: 79 (02) Sequence Number: - Start / End Page: 026219–1 - 026219–11 Identifier: -