On the formulation and solution of the isochronal synchronization stability problem in delay-coupled complex networks

We present a new framework to the formulation of the problem of isochronal synchronization for networks of delay-coupled oscillators. Using a linear transformation to change coordinates of the network state vector, this method allows straightforward definition of the error system, which is a critica...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2012-09, Vol.22 (3), p.033152-033152
Main Authors: Grzybowski, J. M. V., Macau, E. E. N., Yoneyama, T.
Format: Article
Language:English
Subjects:
Formulations
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Summary:We present a new framework to the formulation of the problem of isochronal synchronization for networks of delay-coupled oscillators. Using a linear transformation to change coordinates of the network state vector, this method allows straightforward definition of the error system, which is a critical step in the formulation of the synchronization problem. The synchronization problem is then solved on the basis of Lyapunov-Krasovskii theorem. Following this approach, we show how the error system can be defined such that its dimension can be the same as (or smaller than) that of the network state vector.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4753921