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Titlebook: Controlling Synchronization Patterns in Complex Networks; Judith Lehnert Book 2016 Springer International Publishing Switzerland 2016 Adap

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Zero-Lag and Cluster Synchrony: Towards Applications for zero-lag synchronization is that all nodes are identical and that the coupling delays are equal; see Sect. .. For group synchrony, it is required that the nodes in one group are alike and that the delays for links coupling into the same group are the same; see Sect. ..
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Adaptive Time-Delayed Feedback Control the SG method in the control of networks, I discuss in this Chapter its application to uncoupled systems as a proof of principle of its wide applicability in the control of systems with time delay and to discuss its strengths and weaknesses. In particular, I show that the SG method can be used to t
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Adaptive Control of Cluster States in Network Motifse turned into an adaptive scheme with the help of the speed-gradient (SG) method. The aim of this chapter is to develop an adaptive controller for network motifs. More specifically, we want to control cluster synchronization in motifs of delay-coupled Stuart-Landau oscillators.
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Conclusionthe dynamical patterns include zero-lag as well as group and cluster synchronization. In the first part, I have studied the stability of different synchronization patterns, while the second part has focused on the adaptive control of these dynamical states. Besides developing a theoretical framework
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2190-5053 ization and its control in complex time-delayed networks.Int.This research aims to achieve a fundamental understanding of synchronization and its interplay with the topology of complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology,
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https://doi.org/10.1007/978-3-663-09110-3ility in the control of systems with time delay and to discuss its strengths and weaknesses. In particular, I show that the SG method can be used to turn . (TDFC) and . (ETDFC) into an adaptive control scheme by tuning of the coupling strength. This scheme was developed in Guzenko et al. (.) and Lehnert et al. (.).
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Conclusion, I have investigated neural networks as applications, where I have considered generic neural models like the FitzHugh-Nagumo or the SNIPER (saddle-node infinite period bifurcation) model as well as more sophisticated models like the adaptive exponential integrate-and-fire model.
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