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Breathing synchronization in interconnected networks.

V H P Louzada1, N A M Araújo, J S Andrade

  • 1Computational Physics, IfB, ETH-Honggerberg, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland.

Scientific Reports
|November 22, 2013
PubMed
Summary
This summary is machine-generated.

We discovered a new breathing synchronization pattern in coupled oscillator networks with time delays. Two synchronized groups emerge in each network, with in-phase and anti-phase counterparts across networks.

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Area of Science:

  • Complex Systems
  • Network Science
  • Nonlinear Dynamics

Background:

  • Global synchronization in complex networks depends on topology and interactions.
  • Spatial separation introduces time delays, potentially hindering synchronization.

Purpose of the Study:

  • Investigate synchronization in interconnected oscillator networks with inter-network time delays.
  • Analyze dynamics based on coupling strengths and communication lag.

Main Methods:

  • Studied interconnected networks of oscillators.
  • Introduced time delays between networks.
  • Analyzed synchronization properties as a function of coupling and lag.

Main Results:

  • Discovered a novel 'breathing synchronization' regime with two distinct frequency-synchronized groups per network.
  • Observed in-phase and anti-phase synchronization between counterpart groups across networks.
  • Identified internal network synchronization with potential inter-network phase shifts for strong couplings.

Conclusions:

  • Time delays significantly alter synchronization patterns in coupled networks.
  • The breathing synchronization regime offers new insights into complex network dynamics.
  • Findings have implications for understanding coupled systems in biology and technology.