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Fundamentals of Adaptive and Complex Dynamical Networks

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Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators

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Abstract

In this chapter, we provide a basic introduction to complex and adaptive dynamical networks. We introduce graph theoretical preliminaries along with different classes of networks studied in the subsequent chapters. We discuss different types of models and coupling schemes. Further, we show how adaptivity is modeled in the context of synaptic plasticity and outline the reduction to phase oscillator models with phase difference-dependent plasticity.

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

    Rico Berner

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Berner, R. (2021). Fundamentals of Adaptive and Complex Dynamical Networks. In: Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-74938-5_2

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