The inverse problem of the Birkhoff-Gustavson normalization and ANFER, Algorithm of Normal Form Expansion and Restoration
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arXiv
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| Formato: | Preprint |
| Publicado: |
2000
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| _version_ | 1866912655164309504 |
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| author | Uwano, Yoshio |
| author_facet | Uwano, Yoshio |
| contents | In the series of papers [1-4], the inverse problem of the Birkhoff-Gustavson normalization was posed and studied. To solve the inverse problem, the symbolic-computing program named ANFER (Algorithm of Normal Form Expansion and Restoration) is written up, with which a new aspect of the Bertrand and Darboux integrability condition is found \cite{Uwano2000}. In this paper, the procedure in ANFER is presented in mathematical terminology, which is organized on the basis of the composition of canonical transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0009212 |
| institution | arXiv |
| publishDate | 2000 |
| record_format | arxiv |
| spellingShingle | The inverse problem of the Birkhoff-Gustavson normalization and ANFER, Algorithm of Normal Form Expansion and Restoration Uwano, Yoshio Numerical Analysis In the series of papers [1-4], the inverse problem of the Birkhoff-Gustavson normalization was posed and studied. To solve the inverse problem, the symbolic-computing program named ANFER (Algorithm of Normal Form Expansion and Restoration) is written up, with which a new aspect of the Bertrand and Darboux integrability condition is found \cite{Uwano2000}. In this paper, the procedure in ANFER is presented in mathematical terminology, which is organized on the basis of the composition of canonical transformations. |
| title | The inverse problem of the Birkhoff-Gustavson normalization and ANFER, Algorithm of Normal Form Expansion and Restoration |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/math/0009212 |