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A Locust-Inspired Model of Collective Marching on Rings.

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Autonomous agents in a ring environment achieve local consensus on direction, inspired by locust swarms. With random track-jumping, global consensus is reached, demonstrating swarm intelligence principles.

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Area of Science:

  • Collective behavior
  • Swarm intelligence
  • Robotics

Background:

  • Locust swarms exhibit emergent collective motion in laboratory settings.
  • Autonomous agents can be designed to mimic biological swarm dynamics.
  • Understanding consensus in multi-agent systems is crucial for coordination.

Purpose of the Study:

  • To investigate the emergence of directional consensus in a stochastic swarm of locust-inspired agents.
  • To determine the time scales for consensus formation in a ring-like environment.
  • To explore the impact of track-switching and random behavior on global consensus.

Main Methods:

  • Mathematical modeling of agent interactions and dynamics.
  • Analysis of agent movement on a discretized, multi-track ring environment.
  • Derivation of asymptotic bounds for consensus time.
  • Numerical simulations to validate theoretical predictions.

Main Results:

  • Agents converge to a local consensus, marching in the same direction on each track.
  • The time to reach local consensus depends on agent number, track length, and number of tracks.
  • A small probability of random track-jumping leads to global consensus across all tracks.

Conclusions:

  • The study confirms that locust-inspired agents can achieve directional consensus.
  • The findings provide theoretical bounds and simulation-based evidence for swarm stabilization.
  • Introducing controlled randomness can facilitate global coordination in multi-agent systems.