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Published on: June 29, 2018
Synchronization in networks of mobile oscillators
Naoya Fujiwara1, Jürgen Kurths, Albert Díaz-Guilera
1Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany.
Summary
Synchronization in mobile networks is complex. Faster network changes than local synchronization slow down overall network synchronization, especially near critical points. This highlights the need to balance timescales in network design.
Area of Science:
- Complex Systems
- Network Science
- Agent-Based Modeling
Background:
- Synchronization is crucial for emergent behavior in networks.
- Mobile networks with dynamic topologies present unique synchronization challenges.
- Existing models often simplify topological changes.
Purpose of the Study:
- To model synchronization in networks with motion-induced topological changes.
- To investigate the impact of two distinct timescales on synchronization.
- To identify conditions where approximations may fail.
Main Methods:
- Developed a model for agent-based synchronization with dynamic network topology.
- Introduced and analyzed two timescales: topological change and local synchronization.
- Employed spectral analysis of the time-dependent Laplacian matrix for validation.
Main Results:
- Synchronization time exceeds approximation predictions when topological change is slower.
- This discrepancy is most pronounced near the continuum percolation transition.
- The interplay between timescales significantly affects synchronization achievement.
Conclusions:
- Approximations averaging out motion are insufficient when topological change is slow.
- The tradeoff between topological change and synchronization timescales is critical.
- Network design for mobile devices must account for this tradeoff for efficient synchronization.
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