2011/02/08 by F. Sorrentino, Francesco Sorrentino, Maurizio Porfiri +1 · 1 citation
Computer Science · Physics and Astronomy · #Control theory (sociology) #Coupling (piping) #Distributed Control Multi-Agent Systems #Function (biology) #Matrix (chemical analysis) #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Parametric statistics #Sensitivity (control systems) #Stability (learning theory) #Synchronization (alternating current) #Synchronization networks #cond-mat.dis-nn
paper · pdf · doi:10.1209/0295-5075/93/50002
Accepted for publication in EuroPhysics Letters
arxiv created 2011/02/08 · openalex publication_date 2011/03/01 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized solution for a network of coupled dynamical systems, for which the individual dynamics and output functions of each unit are approximately identical and the sums of the entries in the rows of the coupling matrix slightly deviate from zero. The motivation for this parametric study comes from experimental instances of synchronization in human-made or natural settings, where ideal conditions are difficult to observe.