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FROM COUPLED NETWORKS OF SYSTEMS TO NETWORKS OF STATES IN PHASE SPACE
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
Univ Exeter, Ctr Syst Dynam & Control, Exeter EX4 4QF, Devon, England.;Univ Exeter, Dept Math, Exeter EX4 4QF, Devon, England..
2018 (English)In: Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, E-ISSN 1553-524X, Vol. 23, no 5, p. 2021-2041Article in journal (Refereed) Published
Abstract [en]

Dynamical systems on graphs can show a wide range of behaviours beyond simple synchronization - even simple globally coupled structures can exhibit attractors with intermittent and slow switching between patterns of synchrony. Such attractors, called heteroclinic networks, can be well described as networks in phase space and in this paper we review some results and examples of how these robust attractors can be characterised from the synchrony properties and how coupled systems can be designed to exhibit given but arbitrary network attractors in phase space.

Place, publisher, year, edition, pages
AMER INST MATHEMATICAL SCIENCES-AIMS , 2018. Vol. 23, no 5, p. 2021-2041
Keywords [en]
Dynamical systems, heteroclinic networks, coupled systems
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-238157DOI: 10.3934/dcdsb.2018193ISI: 000447274400009Scopus ID: 2-s2.0-85063653583OAI: oai:DiVA.org:kth-238157DiVA, id: diva2:1261492
Note

QC 20181107

Available from: 2018-11-07 Created: 2018-11-07 Last updated: 2019-05-16Bibliographically approved

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Weinberger, Oskar

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