The Canonical Reduction Method for Symplectic Structures and Its Applications
The canonical reduction method is analized in detail and applied to Maxwell and Yang–
 Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and
 connection structures. The minimum interaction principle is proved to have geometric origin
 wit...
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| Published in: | Нелінійні коливання |
|---|---|
| Date: | 2001 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/174694 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Canonical Reduction Method for Symplectic Structures and Its Applications / A.K. Prykarpatsky, V.H. Samoilenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 354-367. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748129712930816 |
|---|---|
| author | Prykarpatsky, A.K. Samoilenko, V.H. |
| author_facet | Prykarpatsky, A.K. Samoilenko, V.H. |
| citation_txt | The Canonical Reduction Method for Symplectic Structures and Its Applications / A.K. Prykarpatsky, V.H. Samoilenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 354-367. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелінійні коливання |
| description | The canonical reduction method is analized in detail and applied to Maxwell and Yang–
Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and
connection structures. The minimum interaction principle is proved to have geometric origin
within the reduction method devised.
|
| first_indexed | 2025-12-07T20:54:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-174694 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-3076 |
| language | English |
| last_indexed | 2025-12-07T20:54:15Z |
| publishDate | 2001 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Prykarpatsky, A.K. Samoilenko, V.H. 2021-01-27T11:10:22Z 2021-01-27T11:10:22Z 2001 The Canonical Reduction Method for Symplectic Structures and Its Applications / A.K. Prykarpatsky, V.H. Samoilenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 354-367. — Бібліогр.: 10 назв. — англ. 1562-3076 https://nasplib.isofts.kiev.ua/handle/123456789/174694 The canonical reduction method is analized in detail and applied to Maxwell and Yang–
 Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and
 connection structures. The minimum interaction principle is proved to have geometric origin
 within the reduction method devised. One of the authors (A.P.) is cordially indebted to Prof. B.A. Kupershmidt for sending a set
 of inspiring reprints of his papers some of which are cited through this work as well as to Prof.
 J. Zagrodzinski for sending his paper before publication.
 Special thanks for nice hospitality and warm research atmosphere are due to the staff of
 Department of Physics at the EMU of N.Cyprus, especially to Profs. M. Halilsoy, E. Aydiroglu, Ufuk Taneri and Ping Zhang for valuable discussions of problems under study en Інститут математики НАН України Нелінійні коливання The Canonical Reduction Method for Symplectic Structures and Its Applications Метод канонічної редукції для симплектичних структур та його застосування Метод канонической редукции для симплектических структур и его приложения Article published earlier |
| spellingShingle | The Canonical Reduction Method for Symplectic Structures and Its Applications Prykarpatsky, A.K. Samoilenko, V.H. |
| title | The Canonical Reduction Method for Symplectic Structures and Its Applications |
| title_alt | Метод канонічної редукції для симплектичних структур та його застосування Метод канонической редукции для симплектических структур и его приложения |
| title_full | The Canonical Reduction Method for Symplectic Structures and Its Applications |
| title_fullStr | The Canonical Reduction Method for Symplectic Structures and Its Applications |
| title_full_unstemmed | The Canonical Reduction Method for Symplectic Structures and Its Applications |
| title_short | The Canonical Reduction Method for Symplectic Structures and Its Applications |
| title_sort | canonical reduction method for symplectic structures and its applications |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/174694 |
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