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Two-dimensional hydrodynamic simulation for synchronization in coupled density oscillators.

Nana Takeda1, Hiroaki Ito1, Hiroyuki Kitahata1

  • 1Department of Physics, Chiba University, Chiba 263-8522, Japan.

Physical Review. E
|April 19, 2023
PubMed
Summary
This summary is machine-generated.

Coupled density oscillators exhibit spontaneous synchronization. Different stable synchronization modes, including antiphase and partial-in-phase, emerge with increasing numbers of oscillators, as shown by hydrodynamic simulations.

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Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Synchronization Phenomena

Background:

  • Density oscillators involve oscillatory flow between fluids of differing densities through a connecting pore.
  • Understanding synchronization in coupled oscillatory systems is crucial for various scientific and engineering fields.

Purpose of the Study:

  • To investigate the synchronization behavior of coupled density oscillators.
  • To analyze the stability of synchronous states in these systems.
  • To identify emergent synchronization modes with varying numbers of coupled oscillators.

Main Methods:

  • Employed two-dimensional hydrodynamic simulations to model coupled density oscillators.
  • Utilized phase reduction theory to analyze the stability of observed synchronous states.

Main Results:

  • Identified spontaneous emergence of stable synchronization modes: antiphase (2 oscillators), three-phase (3 oscillators), and 2-2 partial-in-phase (4 oscillators).
  • Phase dynamics were explained by significant first Fourier components in the phase coupling function.

Conclusions:

  • Coupled density oscillators demonstrate complex synchronization patterns.
  • The number of coupled oscillators dictates the type of stable synchronization state.
  • Phase coupling function's Fourier components are key to understanding synchronization dynamics.