Schroeder, Malte, Chakraborty, Sagar, Witthaut, Dirk ORCID: 0000-0002-3623-5341, Nagler, Jan and Timme, Marc ORCID: 0000-0002-5956-3137 (2016). Interaction Control to Synchronize Non-synchronizable Networks. Sci Rep, 6. LONDON: NATURE PUBLISHING GROUP. ISSN 2045-2322

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Abstract

Synchronization constitutes one of the most fundamental collective dynamics across networked systems and often underlies their function. Whether a system may synchronize depends on the internal unit dynamics as well as the topology and strength of their interactions. For chaotic units with certain interaction topologies synchronization might be impossible across all interaction strengths, meaning that these networks are non-synchronizable. Here we propose the concept of interaction control, generalizing transient uncoupling, to induce desired collective dynamics in complex networks and apply it to synchronize even such non-synchronizable systems. After highlighting that non-synchronizability prevails for a wide range of networks of arbitrary size, we explain how a simple binary control may localize interactions in state space and thereby synchronize networks. Intriguingly, localizing interactions by a fixed control scheme enables stable synchronization across all connected networks regardless of topological constraints. Interaction control may thus ease the design of desired collective dynamics even without knowledge of the networks' exact interaction topology and consequently have implications for biological and self-organizing technical systems.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Schroeder, MalteUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Chakraborty, SagarUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Witthaut, DirkUNSPECIFIEDorcid.org/0000-0002-3623-5341UNSPECIFIED
Nagler, JanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Timme, MarcUNSPECIFIEDorcid.org/0000-0002-5956-3137UNSPECIFIED
URN: urn:nbn:de:hbz:38-255618
DOI: 10.1038/srep37142
Journal or Publication Title: Sci Rep
Volume: 6
Date: 2016
Publisher: NATURE PUBLISHING GROUP
Place of Publication: LONDON
ISSN: 2045-2322
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
DYNAMICSMultiple languages
Multidisciplinary SciencesMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/25561

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