Universität zu Köln

Zhang, Xiaozhu ORCID: 0000-0003-3816-1478, Hallerberg, Sarah, Matthiae, Moritz, Witthaut, Dirk ORCID: 0000-0002-3623-5341 and Timme, Marc ORCID: 0000-0002-5956-3137 (2019). Fluctuation-induced distributed resonances in oscillatory networks. Sci. Adv., 5 (7). WASHINGTON: AMER ASSOC ADVANCEMENT SCIENCE. ISSN 2375-2548

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Abstract

Across physics, biology, and engineering, the collective dynamics of oscillatory networks often evolve into self-organized operating states. How such networks respond to external fluctuating signals fundamentally underlies their function, yet is not well understood. Here, we present a theory of dynamic network response patterns and reveal how distributed resonance patterns emerge in oscillatory networks once the dynamics of the oscillatory units become more than one-dimensional. The network resonances are topology specific and emerge at an intermediate frequency content of the input signals, between global yet homogeneous responses at low frequencies and localized responses at high frequencies. Our analysis reveals why these patterns arise and where in the network they are most prominent. These results may thus provide general theoretical insights into how fluctuating signals induce response patterns in networked systems and simultaneously help to develop practical guiding principles for real-world network design and control.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Zhang, Xiaozhu UNSPECIFIED orcid.org/0000-0003-3816-1478 UNSPECIFIED Hallerberg, Sarah UNSPECIFIED UNSPECIFIED UNSPECIFIED Matthiae, Moritz UNSPECIFIED UNSPECIFIED UNSPECIFIED Witthaut, Dirk UNSPECIFIED orcid.org/0000-0002-3623-5341 UNSPECIFIED Timme, Marc UNSPECIFIED orcid.org/0000-0002-5956-3137 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-135987
DOI:	10.1126/sciadv.aav1027
Journal or Publication Title:	Sci. Adv.
Volume:	5
Number:	7
Date:	2019
Publisher:	AMER ASSOC ADVANCEMENT SCIENCE
Place of Publication:	WASHINGTON
ISSN:	2375-2548
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SYNCHRONIZATION; KURAMOTO; PERTURBATIONS; PROPAGATION; MODEL Multiple languages Multidisciplinary Sciences Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13598