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Journal Article

Desynchronization transitions in adaptive networks


Berner,  Rico
External Organizations;

Vock,  Simon
External Organizations;


Schöll,  Eckehard
Potsdam Institute for Climate Impact Research;

Yanchuk,  Serhiy
External Organizations;

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Berner, R., Vock, S., Schöll, E., Yanchuk, S. (2021): Desynchronization transitions in adaptive networks. - Physical Review Letters, 126, 2, 028301.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_25035
Adaptive networks change their connectivity with time, depending on their dynamical state. While synchronization in structurally static networks has been studied extensively, this problem is much more challenging for adaptive networks. In this Letter, we develop the master stability approach for a large class of adaptive networks. This approach allows for reducing the synchronization problem for adaptive networks to a low-dimensional system, by decoupling topological and dynamical properties. 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 and FitzHugh-Nagumo neurons with synaptic plasticity.