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Abstract

In this chapter, we extend the master stability approach to complex dynamical networks of diffusively and adaptively coupled oscillators. We show how the interplay between adaptivity and network structure gives rise to the formation of stability islands. Moreover, we report a desynchronization transition and the emergence of complex partial synchronization patterns induced by an increasing overall coupling strength. We illustrate our findings using adaptive networks of coupled phase oscillators.

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Correspondence to Rico Berner .

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Berner, R. (2021). Synchronization on Adaptive Complex Network Structures. 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_7

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