Coarse Graining the Dynamics of Coupled Oscillators

2005/09/30 by Sung Joon Moon, Roger Ghanem, R. Ghanem +2 · 3 citations
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #nlin.AO

paper · pdf · doi:10.1103/physrevlett.96.144101

published as Phys. Rev. Lett. 96, 144101 (2006) · accepted for publication in Phys. Rev. Lett

arxiv created 2006/02/24 · openalex publication_date 2006/04/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an equation-free computational approach to the study of the coarse-grained dynamics of finite assemblies of nonidentical coupled oscillators at and near full synchronization. We use coarse-grained observables which account for the (rapidly developing) correlations between phase angles and natural frequencies. Exploiting short bursts of appropriately initialized detailed simulations, we circumvent the derivation of closures for the long-term dynamics of the assembly statistics.

Citations

• Synchronous Rhythmic Flashing of Fireflies. II.

Cited by

• AN EQUATION-FREE APPROACH TO COUPLED OSCILLATOR DYNAMICS: THE KURAMOTO MODEL EXAMPLE
• Coarse-grained Monte Carlo simulations of the phase transition of the Potts model on weighted networks
• Threefold way to the dimension reduction of dynamics on networks: An application to synchronization
• Dimension reduction in heterogeneous neural networks: Generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA)