The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Ric...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147432 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1474322019-02-15T01:24:23Z The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces Chiba, H. The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP³(p,q,r,s) and dynamical systems theory. 2016 Article The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 34M35; 34M45; 34M55 DOI:10.3842/SIGMA.2016.019 http://dspace.nbuv.gov.ua/handle/123456789/147432 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 |
The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP³(p,q,r,s) and dynamical systems theory. |
| format |
Article |
| author |
Chiba, H. |
| spellingShingle |
Chiba, H. The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Chiba, H. |
| author_sort |
Chiba, H. |
| title |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_short |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_full |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_fullStr |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_full_unstemmed |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_sort |
third, fifth and sixth painlevé equations on weighted projective spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147432 |
| citation_txt |
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT chibah thethirdfifthandsixthpainleveequationsonweightedprojectivespaces AT chibah thirdfifthandsixthpainleveequationsonweightedprojectivespaces |
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2023-05-20T17:27:40Z |
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2023-05-20T17:27:40Z |
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1796153342315986944 |