Global synchronization theorem for coupled swarmalators.

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Tác giả: Kevin O'Keeffe

Ngôn ngữ: eng

Ký hiệu phân loại: 523.855 Globular clusters

Thông tin xuất bản: United States : Chaos (Woodbury, N.Y.) , 2025

Mô tả vật lý:

Bộ sưu tập: NCBI

ID: 220076

 The global stability of oscillator networks has attracted much recent attention. Ordinarily, the oscillators in such studies are motionless
  their spatial degrees of freedom are either ignored (e.g., mean field models) or inactive (e.g., geometrically embedded networks like lattices). Yet many real-world oscillators are mobile, moving around in space as they synchronize in time. Here, we prove a global synchronization theorem for a simple model of such swarmalators where the units move on a 1D ring. This can be thought of as a generalization from oscillators connected on random networks to oscillators connected on temporal networks, where the edges are determined by the oscillators' movements.
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