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Interplay of Delay and Fractal Topology

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Delay Controlled Partial Synchronization in Complex Networks

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

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Abstract

The topology of the network has been found to play a crucial role in inducing chimera states. While earlier work has focussed on simple nonlocal coupling schemes, we focus on more complex connectivities, reflecting the structure of real-world networks. Of particular interest are networks with hierarchical connectivities, arising in neuroscience as a result of Diffusion Tensor Magnetic Resonance Imaging analysis, showing that the connectivity of the neuron axons network represents a hierarchical (quasi-fractal) geometry. Furthermore, we aim to uncover the impact of time delay on the dynamics in such complex network topologies. We analyze the influence of time delay on chimera states in networks with hierarchical connectivity, and demonstrate how by varying the time delay one can stabilize chimera states in the network.

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Authors and Affiliations

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

    Jakub Sawicki

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  1. Jakub Sawicki
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Correspondence to Jakub Sawicki .

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Sawicki, J. (2019). Interplay of Delay and Fractal Topology. In: Delay Controlled Partial Synchronization in Complex Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-34076-6_5

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