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¹H NMR: Long-Range Coupling

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Updated: May 15, 2026

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
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Published on: May 8, 2021

Kuramoto model with coupling through an external medium.

David J Schwab1, Gabriel G Plunk, Pankaj Mehta

  • 1Department of Molecular Biology and Physics, Princeton University, Princeton, New Jersey 08854, USA.

Chaos (Woodbury, N.Y.)
|January 3, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a generalized Kuramoto model with oscillators communicating via an external medium. New phenomena observed include bistability and a novel synchronization type involving the medium itself.

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Last Updated: May 15, 2026

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Area of Science:

  • Physics
  • Complex Systems
  • Nonlinear Dynamics

Background:

  • The Kuramoto model is a standard framework for studying synchronization in coupled oscillators.
  • Understanding emergent collective behavior in systems with many interacting components is crucial.

Purpose of the Study:

  • To investigate a generalized Kuramoto model incorporating an external communication medium.
  • To explore novel synchronization phenomena beyond the standard model.

Main Methods:

  • Mathematical modeling of coupled oscillators with medium interaction.
  • Analysis of emergent behaviors including synchronization and incoherence.

Main Results:

  • The generalized model exhibits bistability between synchronized and incoherent states.
  • A new synchronization mode emerges where the external medium oscillates.
  • The model connects to other Kuramoto variations and real-world problems.

Conclusions:

  • The inclusion of an external medium significantly enriches the dynamics of coupled oscillator systems.
  • This generalized model provides insights into complex collective behaviors and their control.