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Md Sayeed Anwar1, Dibakar Ghosh1, Kevin O'Keeffe2

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Summary
This summary is machine-generated.

This study explores swarmalator dynamics on a ring with periodic forcing, revealing complex behaviors like pinned states, synchronization, and novel swarmalator chimera. Stability analysis approximates the model's phase diagram.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Statistical physics

Background:

  • Swarmalators combine synchronization and swarming behaviors.
  • Periodic forcing and confinement are key in physical systems like colloidal micromotors.
  • Understanding these dynamics is crucial for modeling collective phenomena.

Purpose of the Study:

  • To investigate the behavior of swarmalators on a 1D ring under periodic forcing.
  • To identify and characterize different emergent states.
  • To determine the stability of these states and approximate the phase diagram.

Main Methods:

  • Simulation of a simple swarmalator model.
  • Analysis of collective dynamics under periodic driving.
  • Derivation of stability criteria for observed states.

Main Results:

  • Observed pinned states where swarmalators lock to the driving force.
  • Identified various synchronization states, including identical phases and fixed phase differences.
  • Discovered unsteady states, notably swarmalator chimera with distinct population splitting and movement patterns.
  • Derived stability thresholds approximating the phase diagram.

Conclusions:

  • The 1D ring model with periodic forcing exhibits rich and complex swarmalator dynamics.
  • Stability analysis provides a good approximation of the model's phase diagram.
  • The findings offer insights into physical systems with coupled sync, swarming, and forcing.