2012/02/29 by Ganna Rozhnova, G. Rozhnova, Ana Nunes +3 · 19 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Amplitude #Biology #Coherence (philosophical gambling strategy) #Computer science #Coupling (piping) #Demography #Econometrics #Ecosystem dynamics and resilience #Engineering #Function (biology) #Lag #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Phase (matter) #Phase lag #Phase synchronization #Physics #Population #Quantum mechanics #Sociology #Statistical physics #Statistics #Synchronization (alternating current) #Synchronization networks #Topology (electrical circuits) #cond-mat.stat-mech #nlin.AO #physics.bio-ph #q-bio.PE #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.85.051912
published in Physical Review E 85(5), 051912 (American Physical Society) · 10 pages, 6 figures
arxiv created 2012/05/17 · openalex publication_date 2012/05/22 · arxiv updated 2012/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the synchronization and phase lag of fluctuations in the number of infected individuals in a network of cities between which individuals commute. The frequency and amplitude of these oscillations is known to be very well captured by the van Kampen system-size expansion, and we use this approximation to compute the complex coherence function that describes their correlation. We find that, if the infection rate differs from city to city and the coupling between them is not too strong, these oscillations are synchronized with a well-defined phase lag between cities. The analytic description of the effect is shown to be in good agreement with the results of stochastic simulations for realistic population sizes.