Dynamics on Networks of Manifolds
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 sur...
Збережено в:
| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147001 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dynamics on Networks of Manifolds / L. DeVille, E. Lerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147001 |
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dspace |
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| spelling |
irk-123456789-1470012019-02-13T01:24:25Z Dynamics on Networks of Manifolds DeVille, L. Lerman, E. 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. 2015 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
DeVille, L. Lerman, E. |
| spellingShingle |
DeVille, L. Lerman, E. Dynamics on Networks of Manifolds Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
DeVille, L. Lerman, E. |
| author_sort |
DeVille, L. |
| title |
Dynamics on Networks of Manifolds |
| title_short |
Dynamics on Networks of Manifolds |
| title_full |
Dynamics on Networks of Manifolds |
| title_fullStr |
Dynamics on Networks of Manifolds |
| title_full_unstemmed |
Dynamics on Networks of Manifolds |
| title_sort |
dynamics on networks of manifolds |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147001 |
| citation_txt |
Dynamics on Networks of Manifolds / L. DeVille, E. Lerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT devillel dynamicsonnetworksofmanifolds AT lermane dynamicsonnetworksofmanifolds |
| first_indexed |
2025-07-11T01:07:36Z |
| last_indexed |
2025-07-11T01:07:36Z |
| _version_ |
1837310732891324416 |