Master Stability Functions for Coupled Near-Identical Dynamical Systems

Details Master Stability Functions for Coupled Near-Identical Dynamical Systems Master Stability Functions for Coupled Near-Identical Dynamical Systems

2008-11-05

arxiv.org/abs/0811.0649v1

Euro. Phys. Lett. 85 (2009) 60011.

Nonlinear Sciences

Chaotic Dynamics

11 pages, 2 figures

Scientific paper

10.1209/0295-5075/85/60011

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 significant roles played by the Laplacian eigenvectors in the study of network synchronization of near-identical systems.

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