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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Statistical physics

Background:

  • Swarmalators are phase oscillators exhibiting emergent spatial clustering and synchronized motion.
  • Interactions depend on distance and phase difference, coupling spatial and temporal dynamics.
  • The Kuramoto-Sakaguchi model describes coupled phase oscillators, often used to study synchronization.

Purpose of the Study:

  • To investigate the impact of induced phase frustration on a one-dimensional swarmalator system.
  • To analyze the emergence of ordered and disordered states under frustrated conditions.
  • To explore the relationship between phase frustration, coupling constants, and emergent system behaviors.

Main Methods:

  • Numerical simulations of swarmalator dynamics on a 1D ring.
  • Analytical investigations inspired by the Kuramoto-Sakaguchi equations.
  • Parameter space exploration to identify ordered and disordered states.

Main Results:

  • Phase frustration induces novel active states not present in unfrustrated systems.
  • Emergent states include those resembling turbulence in 2D systems.
  • All ordered states are achievable by tuning phase frustration, independent of coupling constants.
  • Multistability is observed across various parameter combinations.

Conclusions:

  • Phase frustration is a key mechanism for generating diverse collective behaviors in swarmalator systems.
  • The 1D ring model with frustration effectively replicates complex dynamics observed in higher dimensions.
  • Tuning frustration offers a powerful method to control and understand swarmalator collective states.