Threefold way to the dimension reduction of dynamics on networks: An application to synchronization

2020/05/31 by Vincent Thibeault, Guillaume St-Onge, Louis J. Dubé +1
Computer Science · Physics and Astronomy · #Control theory (sociology) #Dimension (graph theory) #Dynamics (music) #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Reduction (mathematics) #Stability (learning theory) #Synchronization (alternating current) #nlin.AO

paper · pdf · doi:10.1103/physrevresearch.2.043215

published as Phys. Rev. Research 2, 043215 (2020) · 28 pages, 14 figures

openalex created_date 2020/05/29 · arxiv created 2020/10/16 · openalex publication_date 2020/11/11 · arxiv updated 2020/11/18 · openalex updated_date 2026/08/05

Abstract

This paper introduces a dynamics approximate reduction technique to provide low-dimensional representations of dynamics on complex networks, and use it to predict synchronization phenomena emerging from oscillator dynamics.

Citations

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