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October 15, 2025International Journal of Bifurcation and Chaos

Synchronization in Small, Fully Coupled Systems of Discrete-Time Kuramoto Oscillators

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Authors

TKTamás Kalmár‐NagyDHDávid András HorváthBVBalázs Vincze

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Overview

Analysis demonstrates synchronization in kuramoto oscillators with fixed points and chaotic dynamics.

Key Points

  • Synchronization is characterized by the order parameter, which classifies the system's fixed points.
  • The study identifies fixed points and their stability by utilizing a constant of motion for simplification.
  • Periodic orbits and chaotic behavior are explored within the toroidal phase space framework.
  • Describing the symmetries of the three-oscillator model enables complete tiling of the phase space.

Cite This Study

Kalmár‐Nagy et al. (2025) studied this question.

synapsesocial.com/papers/68efd921056559ef42877784https://doi.org/10.1142/s0218127425300320
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