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Structure of the Master Stability Function for Large Delay

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Delay-Coupled Complex Systems

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Abstract

To determine the stability of a synchronized state in a network of identical units, a powerful method has been developed called the master stability function (MSF). Recent works have started to investigate the MSF for networks with coupling delays. Time delay effects play an important role in realistic networks. For example, the finite propagation time of light between coupled semiconductor lasers significantly influence the dynamics.

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Notes

  1. 1.

    Note that the complex number \(re^{i\phi}\) is usually denoted by \(\alpha+i\beta\) in the literature.

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  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623, Berlin, Germany

    Valentin Flunkert

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  1. Valentin Flunkert
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Flunkert, V. (2011). Structure of the Master Stability Function for Large Delay. In: Delay-Coupled Complex Systems. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20250-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-20250-6_10

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