The generalized canonical form of Hori's method for non-canonical systems
Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonica...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1989 |
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| Umfang: |
9 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Celestial mechanics and dynamical astronomy - 1969, 46(1989) vom: Jan., Seite 49-57 |
| Übergeordnetes Werk: |
volume:46 ; year:1989 ; month:01 ; pages:49-57 ; extent:9 |
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| 520 | |a Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. | ||
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(DE-627)NLEJ193565668 DE-627 ger DE-627 rakwb eng The generalized canonical form of Hori's method for non-canonical systems 1989 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. Springer Online Journal Archives 1860-2002 Fernandes, S. S. oth Sessin, W. oth in Celestial mechanics and dynamical astronomy 1969 46(1989) vom: Jan., Seite 49-57 (DE-627)NLEJ188986588 (DE-600)1472552-6 1572-9478 nnns volume:46 year:1989 month:01 pages:49-57 extent:9 http://dx.doi.org/10.1007/BF02426712 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 46 1989 1 49-57 9 |
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(DE-627)NLEJ193565668 DE-627 ger DE-627 rakwb eng The generalized canonical form of Hori's method for non-canonical systems 1989 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. Springer Online Journal Archives 1860-2002 Fernandes, S. S. oth Sessin, W. oth in Celestial mechanics and dynamical astronomy 1969 46(1989) vom: Jan., Seite 49-57 (DE-627)NLEJ188986588 (DE-600)1472552-6 1572-9478 nnns volume:46 year:1989 month:01 pages:49-57 extent:9 http://dx.doi.org/10.1007/BF02426712 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 46 1989 1 49-57 9 |
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(DE-627)NLEJ193565668 DE-627 ger DE-627 rakwb eng The generalized canonical form of Hori's method for non-canonical systems 1989 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. Springer Online Journal Archives 1860-2002 Fernandes, S. S. oth Sessin, W. oth in Celestial mechanics and dynamical astronomy 1969 46(1989) vom: Jan., Seite 49-57 (DE-627)NLEJ188986588 (DE-600)1472552-6 1572-9478 nnns volume:46 year:1989 month:01 pages:49-57 extent:9 http://dx.doi.org/10.1007/BF02426712 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 46 1989 1 49-57 9 |
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(DE-627)NLEJ193565668 DE-627 ger DE-627 rakwb eng The generalized canonical form of Hori's method for non-canonical systems 1989 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. Springer Online Journal Archives 1860-2002 Fernandes, S. S. oth Sessin, W. oth in Celestial mechanics and dynamical astronomy 1969 46(1989) vom: Jan., Seite 49-57 (DE-627)NLEJ188986588 (DE-600)1472552-6 1572-9478 nnns volume:46 year:1989 month:01 pages:49-57 extent:9 http://dx.doi.org/10.1007/BF02426712 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 46 1989 1 49-57 9 |
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(DE-627)NLEJ193565668 DE-627 ger DE-627 rakwb eng The generalized canonical form of Hori's method for non-canonical systems 1989 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. Springer Online Journal Archives 1860-2002 Fernandes, S. S. oth Sessin, W. oth in Celestial mechanics and dynamical astronomy 1969 46(1989) vom: Jan., Seite 49-57 (DE-627)NLEJ188986588 (DE-600)1472552-6 1572-9478 nnns volume:46 year:1989 month:01 pages:49-57 extent:9 http://dx.doi.org/10.1007/BF02426712 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 46 1989 1 49-57 9 |
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in Celestial mechanics and dynamical astronomy 46(1989) vom: Jan., Seite 49-57 volume:46 year:1989 month:01 pages:49-57 extent:9 |
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the generalized canonical form of hori's method for non-canonical systems |
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The generalized canonical form of Hori's method for non-canonical systems |
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Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. |
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Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. |
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Abstract Any dynamical system can be put in generalized canonical form through the introduction of a set of auxiliary ‘conjugate’ variables or momenta and solved by perturbation theory based on Lie series. The application of Hori's method for generalized canonical system leads to a new canonical transformation — the Mathieu transformation — defined by the solution of the Hori auxiliary system. This new transformation simplifies the algorithm since the inversion of the solution of the Hori auxiliary system is no longer necessary. In this paper, we wish to show some peculiarities of this technique. |
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The generalized canonical form of Hori's method for non-canonical systems |
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