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This study introduces resource-consuming or producing Kuramoto oscillators, revealing that resource dynamics dictate synchronized states in multiagent systems, unlike traditional models.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Standard Kuramoto models offer insights into synchronized behavior in multiagent systems.
  • Real-world systems often face resource constraints, which traditional models do not address.

Purpose of the Study:

  • To investigate synchronized dynamics in coupled Kuramoto oscillators under resource constraints.
  • To explore how resource consumption or production affects system synchronization.

Main Methods:

  • Construction of a coupled Kuramoto oscillator system with frequency-dependent resource dynamics.
  • Analysis of system behavior at varying coupling strengths (high, low, intermediate).
  • Theoretical explanation for observed synchronization phenomena.

Main Results:

  • High coupling leads to strong synchronization; low coupling leads to independent dynamics.
  • Intermediate coupling exhibits two distinct states: oscillating order parameter or multiple stable synchronization states.
  • The specific state depends on whether oscillators consume or produce resources.

Conclusions:

  • Resource dynamics significantly influence synchronized states in multiagent systems.
  • This model provides a more realistic framework for studying synchronization in resource-limited environments.
  • Lays groundwork for quantitative predictions in neuroscience and social systems.