Order, chaos, and dimensionality transition in a system of swarmalators

Author(s)

Lizarraga, Joao U. F. ; O'Keeffe, Kevin P. ; de Aguiar, Marcus A. M.

• Document type: Journal article
• Source: PHYSICAL REVIEW E; v. 109, n. 4, p. 17-pg., 2024-04-16.

Abstract

Similarly to sperm, where individuals self -organize in space while also striving for coherence in their tail swinging, several natural and engineered systems exhibit the emergence of swarming and synchronization. The arising and interplay of these phenomena have been captured by collectives of hypothetical particles named swarmalators, each possessing a position and a phase whose dynamics are affected reciprocally and also by the space -phase states of their neighbors. In this work, we introduce a solvable model of swarmalators able to move in two-dimensional spaces. We show that several static and active collective states can emerge and derive necessary conditions for each to show up as the model parameters are varied. These conditions elucidate, in some cases, the displaying of multistability among states. Notably, in the active regime, the system exhibits hyperchaos, maintaining spatial correlation under certain conditions and breaking it under others on what we interpret as a dimensionality transition. (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