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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Fragmentation transition in a coevolving network with link-state dynamics.

A Carro1, F Vazquez2, R Toral1

  • 1IFISC, Instituto de FĂ­sica Interdisciplinar y Sistemas Complejos (CSIC-UIB), E-07122 Palma de Mallorca, Spain.

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Summary
This summary is machine-generated.

Rewiring frustrated links in network models prevents disordered states. Even small rewiring rates lead to ordered networks, often fragmented into two states.

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Area of Science:

  • Complex systems
  • Network science
  • Statistical physics

Background:

  • Network models often simplify link dynamics and topology evolution.
  • Understanding how local interactions influence global network structure is crucial.

Purpose of the Study:

  • To investigate a network model coupling link state dynamics with topology evolution.
  • To determine the impact of rewiring on network order and stability.

Main Methods:

  • Simulated a network model with majority rule and zero-temperature Glauber dynamics for link states.
  • Incorporated a rewiring mechanism for links in local minority states.
  • Analyzed system evolution towards ordered absorbing configurations using finite-size scaling.

Main Results:

  • Majority rule alone leads to disordered topological traps.
  • Any rewiring rate drives the network to order by releasing frustrated links.
  • System dynamics depend on the relative rates of majority rule and rewiring.
  • Networks can evolve to a single ordered state or a fragmented two-component state.
  • Bistability between fragmented and nonfragmented states observed for low rewiring rates in finite networks.

Conclusions:

  • Rewiring is essential for achieving order in these network models.
  • Network fragmentation into two states is the dominant scenario for large systems with any rewiring.
  • The interplay between local dynamics and global topology dictates emergent network behavior.