2009/06/01 by D. V. Senthilkumar, Jürgen Kurths, J. Kurths +1 · 26 citations
Computer Science · Mathematics · Physics and Astronomy · #Chaos control and synchronization #Computer science #Control (management) #Control theory (sociology) #Lyapunov stability #Mathematics #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Stability (learning theory) #Synchronization (alternating current) #Topology (electrical circuits) #nlin.CD
paper · pdf · doi:10.1103/physreve.79.066208
published in Physical Review E 79(6), 066208 (American Physical Society) · Accepted for Publication in Physical Review E
arxiv created 2009/06/01 · openalex publication_date 2009/06/17 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general situation (but with a constraint) where all the coefficients of the error equation corresponding to the synchronization manifold are time dependent. These analytical results are also confirmed by the numerical simulation of paradigmatic examples.