Volume 85, Number 6, March 2009
|Number of page(s)||5|
|Published online||07 April 2009|
Master stability functions for coupled nearly identical dynamical systems
Department of Mathematics and Computer Science, Clarkson University - Potsdam, NY 13699-5815, USA
Corresponding author: email@example.com
Accepted: 4 March 2009
We derive a master stability function (MSF) for synchronization in networks of coupled dynamical systems with small but arbitrary parametric variations. Analogous to the MSF for identical systems, our generalized MSF simultaneously solves the linear-stability problem for near-synchronous states (NSS) for all possible connectivity structures. We also derive a general sufficient condition for stable near-synchronization and show that the synchronization error scales linearly with the magnitude of parameter variations. Our analysis underlines the significant role played by the Laplacian eigenvectors in the study of network synchronization of near-identical systems.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.-a – Nonlinear dynamics and chaos / 89.75.-k – Complex systems
© EPLA, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.