Dynamics on Networks of Manifolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dynamics on Networks of Manifolds
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| Creator |
DeVille, L.
Lerman, E. |
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| Description |
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.
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| Date |
2019-02-12T18:15:22Z
2019-02-12T18:15:22Z 2015 |
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| Type |
Article
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| Identifier |
Dynamics on Networks of Manifolds / L. DeVille, E. Lerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 34C14; 18D99 DOI:10.3842/SIGMA.2015.022 http://dspace.nbuv.gov.ua/handle/123456789/147001 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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