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  Desynchronization transitions in adaptive networks

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

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_25035 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_25035_1
Genre: Journal Article

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 Creators:
Berner, Rico1, Author
Vock, Simon1, Author
Schöll, Eckehard2, Author              
Yanchuk, Serhiy1, Author
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, Potsdam, ou_persistent13              

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 Abstract: 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.

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 Dates: 2020-12-15
 Publication Status: Accepted / In Press
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
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Title: Physical Review Letters
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/journals391