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Designing temporal networks that synchronize under resource constraints.

Yuanzhao Zhang1, Steven H Strogatz2

  • 1Center for Applied Mathematics, Cornell University, Ithaca, 14853, NY, USA. yuanzhao@u.northwestern.edu.

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|June 2, 2021
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Summary
This summary is machine-generated.

Temporal networks enable efficient synchronization with limited resources. Dynamic network structures offer advantages over static networks, especially for systems with varied dynamics and specific switching rates.

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Area of Science:

  • Complex systems
  • Network science
  • Non-equilibrium dynamics

Background:

  • Synchronization requires energy and is limited by network coupling budgets.
  • Static networks may fail to achieve stable synchrony under resource constraints.

Purpose of the Study:

  • To demonstrate the advantage of temporal networks for efficient synchronization.
  • To explore synchronization in systems with diverse dynamics using temporal networks.
  • To provide analytical insights into synchronization on dynamic networks.

Main Methods:

  • Designing open-loop temporal networks.
  • Analyzing synchronization in discrete-time and continuous-time models (periodic and chaotic dynamics).
  • Linking dynamic stabilization to the master stability function's curvature.

Main Results:

  • Temporal networks facilitate efficient synchronization, even when static networks fail.
  • The proposed temporal networks are versatile across different system dynamics.
  • Network switching rate influences synchronization, with optimal rates observed.

Conclusions:

  • Temporal network structures offer a fundamental advantage for resource-constrained synchronization.
  • Dynamic network topology provides a mechanism for stabilizing synchrony.
  • The study offers analytical insights into synchronization dynamics on temporal networks.