Dynamics on Networks of Manifolds

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	DeVille, L.
dc.contributor.author	Lerman, E.
dc.date.accessioned	2019-02-12T18:15:22Z
dc.date.available	2019-02-12T18:15:22Z
dc.date.issued	2015
dc.identifier.citation	Dynamics on Networks of Manifolds / L. DeVille, E. Lerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34C14; 18D99
dc.identifier.other	DOI:10.3842/SIGMA.2015.022
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147001
dc.description.abstract	We propose a precise definition of a continuous time dynamical system made up of interacting open subsystems. The interconnections of subsystems are coded by directed graphs. We prove that the appropriate maps of graphs called graph fibrations give rise to maps of dynamical systems. Consequently surjective graph fibrations give rise to invariant subsystems and injective graph fibrations give rise to projections of dynamical systems.	uk_UA
dc.description.sponsorship	L.D. was supported by the National Science Foundation under grants CMG-0934491 and UBM1129198 and by the National Aeronautics and Space Administration under grant NASA-NNA13 AA91A. The authors also thank the anonymous referees whose comments significantly improved the manuscript.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Dynamics on Networks of Manifolds	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA