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Efficient flocking: metric versus topological interactions.

Vijay Kumar1, Rumi De1

  • 1Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal, India.

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|October 11, 2021
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Summary
This summary is machine-generated.

This study compares metric and topological interactions in self-propelled particle models for flocking. Topological interactions are found to be more effective in achieving ordered motion in groups.

Keywords:
flockingmathematical modellingstatistical analysisswarm behaviourtopological and metric interaction

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Area of Science:

  • Collective behavior
  • Complex systems
  • Biophysics

Background:

  • Flocking is a common emergent behavior in nature.
  • Understanding the rules governing collective motion is key.
  • Metric and topological interaction rules are debated in flocking literature.

Purpose of the Study:

  • To investigate how metric versus topological interaction rules influence flocking dynamics.
  • To explore the effect of interaction range and number of neighbors on ordered motion.
  • To compare the effectiveness of metric and topological interactions in flocking.

Main Methods:

  • Utilized a simple self-propelled particle model.
  • Simulated flocking behavior in an unbounded space.
  • Varied interaction parameters: interaction radius (metric) and number of neighbors (topological).

Main Results:

  • Identified threshold values for interaction radius (metric) and neighbor count (topological) for ordered states.
  • Demonstrated that topological interactions are more efficient in achieving group order.
  • Observed differences in dynamics based on flock size and speed.

Conclusions:

  • Topological interaction rules are more effective for emergent order in self-propelled particle systems.
  • Interaction range and neighbor number are critical parameters influencing collective motion.
  • Findings align with observations from natural flocking phenomena.