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Control of Synchronization Transitions by Balancing Excitatory and Inhibitory Coupling

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Controlling Synchronization Patterns in Complex Networks

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

Determining the stability of synchronization in large and complex networks is very challenging due to the high dimensionality of the problem. In the previous chapter, I have given an introduction to the master stability function (MSF) which allows for decoupling of the topology and the local dynamics. In this way the originally very high-dimensional problem is reduced to (i) solving the problem for one node with a rescaled coupling strength and (ii) determining the eigenvalues of the network’s coupling matrix.

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  1. Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

    Judith Lehnert

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  1. Judith Lehnert
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Correspondence to Judith Lehnert .

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Lehnert, J. (2016). Control of Synchronization Transitions by Balancing Excitatory and Inhibitory Coupling. In: Controlling Synchronization Patterns in Complex Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-25115-8_4

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