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Forced swarmalators that move in higher-dimensional spaces

Md Sayeed Anwar1,*, Dibakar Ghosh1,†, and Kevin O'Keeffe2,3,‡

  • *Contact author: sayeedanwar447@gmail.com
  • †Contact author: diba.ghosh@gmail.com
  • ‡Contact author: kevin.p.okeeffe@gmail.com
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Phys. Rev. E 111, 044207 – Published 8 April, 2025

DOI: https://doi.org/10.1103/PhysRevE.111.044207

Abstract

We study the collective dynamics of swarmalators subjected to periodic (sinusoidal) forcing. Although previous research focused on the simplified case of motion in a one-dimensional (1D) periodic domain, we extend this analysis to the more realistic scenario of motion in two and three spatial dimensions with periodic boundary conditions. In doing so, we identify analogues of the 1D states and characterize their dynamics and stability boundaries analytically. Additionally, we investigate the forced swarmalators model with power-law interaction kernels, finding that the analytically tractable model with periodic boundary conditions can reproduce the observed dynamic behaviors of this more complex model.

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Outline

Information

Phys. Rev. E 111, 044207– Published 8 April, 2025
  • Received 22 November 2024
  • Accepted 21 March 2025
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