Synchronization of Sakaguchi swarmalators

Author(s)

Lizarraga, Joao U. F. ; de Aguiar, Marcus A. M.

• Document type: Journal article
• Source: PHYSICAL REVIEW E; v. 108, n. 2, p. 12-pg., 2023-08-11.

Abstract

Swarmalators are phase oscillators that cluster in space, like fireflies flashing in a swarm to attract mates. Interactions between particles, which tend to synchronize their phases and align their motion, decrease with the distance and phase difference between them, coupling the spatial and phase dynamics. In this work, we explore the effects of inducing phase frustration on a system of swarmalators that move on a one-dimensional ring. Our model is inspired by the well-known Kuramoto-Sakaguchi equations. We find, numerically and analytically, the ordered and disordered states that emerge in the system. The active states, not present in the model without frustration, resemble states found previously in numerical studies for the two-dimensional swarmalators system. One of these states, in particular, shows similarities to turbulence generated in a flattened media. We show that all ordered states can be generated for any values of the coupling constants by tuning the phase frustration parameters only. Moreover, many of these combinations display multistability. (AU)

• FAPESP's process: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects
• FAPESP's process: 21/04251-4 - Sympatric speciation through assortativity: the role of neutral and mating trairs
• Grantee: Joao Ulises Fabián Lizárraga
• Support Opportunities: Scholarships in Brazil - Master