Differential Galois Theory and Non-Integrability of Hamiltonian Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Springer Basel
1999
|
| Ausgabe: | 1999. Reprint 2013 of the 1999 edition |
| Schriftenreihe: | Modern Birkhäuser Classics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability is made precise within the framework of differential Galois theory. The connection of these two integrability notions is given by the variational equation (i.e. linearized equation) along a particular integral curve of the Hamiltonian system. The underlying heuristic idea, which motivated the main results presented in this monograph, is that a necessary condition for the integrability of a Hamiltonian system is the integrability of the variational equation along any of its particular integral curves. This idea led to the algebraic non-integrability criteria for Hamiltonian systems. These criteria can be considered as generalizations of classical non-integrability results by Poincaré and Lyapunov, as well as more recent results by Ziglin and Yoshida. Thus, by means of the differential Galois theory it is not only possible to understand all these approaches in a unified way but also to improve them. Several important applications are also included: homogeneous potentials, Bianchi IX cosmological model, three-body problem, Hénon-Heiles system, etc. The book is based on the original joint research of the author with J.M. Peris, J.P. Ramis and C. Simó, but an effort was made to present these achievements in their logical order rather than their historical one. The necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new lines of research are proposed. - - - The book is an excellent introduction to non-integrability methods in Hamiltonian mechanics and brings the reader to the forefront of research in the area. The inclusion of a large number of worked-out examples, many of wide applied interest, is commendable. There are many historical references, and an extensive bibliography. (Mathematical Reviews) For readers already prepared in the two prerequisite subjects [differential Galois theory and Hamiltonian dynamical systems], the author has provided a logically accessible account of a remarkable interaction between differential algebra and dynamics. (Zentralblatt MATH) |
| Beschreibung: | 1 Online-Ressource (XIV, 167 p.) 5 illus |
| ISBN: | 9783034807234 9783034807203 |
| ISSN: | 2197-1803 |
| DOI: | 10.1007/978-3-0348-0723-4 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042421851 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1999 |||| o||u| ||||||eng d | ||
| 020 | |a 9783034807234 |c Online |9 978-3-0348-0723-4 | ||
| 020 | |a 9783034807203 |c Print |9 978-3-0348-0720-3 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0723-4 |2 doi | |
| 035 | |a (OCoLC)1184708540 | ||
| 035 | |a (DE-599)BVBBV042421851 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.352 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Morales Ruiz, Juan J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Differential Galois Theory and Non-Integrability of Hamiltonian Systems |c by Juan J. Morales Ruiz |
| 250 | |a 1999. Reprint 2013 of the 1999 edition | ||
| 264 | 1 | |a Basel |b Springer Basel |c 1999 | |
| 300 | |a 1 Online-Ressource (XIV, 167 p.) |b 5 illus | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Modern Birkhäuser Classics |x 2197-1803 | |
| 500 | |a This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability is made precise within the framework of differential Galois theory. The connection of these two integrability notions is given by the variational equation (i.e. linearized equation) along a particular integral curve of the Hamiltonian system. The underlying heuristic idea, which motivated the main results presented in this monograph, is that a necessary condition for the integrability of a Hamiltonian system is the integrability of the variational equation along any of its particular integral curves. This idea led to the algebraic non-integrability criteria for Hamiltonian systems. | ||
| 500 | |a These criteria can be considered as generalizations of classical non-integrability results by Poincaré and Lyapunov, as well as more recent results by Ziglin and Yoshida. Thus, by means of the differential Galois theory it is not only possible to understand all these approaches in a unified way but also to improve them. Several important applications are also included: homogeneous potentials, Bianchi IX cosmological model, three-body problem, Hénon-Heiles system, etc. The book is based on the original joint research of the author with J.M. Peris, J.P. Ramis and C. Simó, but an effort was made to present these achievements in their logical order rather than their historical one. The necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new lines of research are proposed. | ||
| 500 | |a - - - The book is an excellent introduction to non-integrability methods in Hamiltonian mechanics and brings the reader to the forefront of research in the area. The inclusion of a large number of worked-out examples, many of wide applied interest, is commendable. There are many historical references, and an extensive bibliography. (Mathematical Reviews) For readers already prepared in the two prerequisite subjects [differential Galois theory and Hamiltonian dynamical systems], the author has provided a logically accessible account of a remarkable interaction between differential algebra and dynamics. (Zentralblatt MATH) | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Field theory (Physics) | |
| 650 | 4 | |a Global analysis | |
| 650 | 4 | |a Differential Equations | |
| 650 | 4 | |a Ordinary Differential Equations | |
| 650 | 4 | |a Global Analysis and Analysis on Manifolds | |
| 650 | 4 | |a Field Theory and Polynomials | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Galois-Theorie |0 (DE-588)4155901-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hamiltonsches System |0 (DE-588)4139943-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialalgebra |0 (DE-588)4134657-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtintegrables System |0 (DE-588)4462790-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialalgebra |0 (DE-588)4134657-9 |D s |
| 689 | 0 | 1 | |a Galois-Theorie |0 (DE-588)4155901-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Hamiltonsches System |0 (DE-588)4139943-2 |D s |
| 689 | 1 | 1 | |a Nichtintegrables System |0 (DE-588)4462790-7 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-0348-0723-4 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027857268 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153095375028224 |
|---|---|
| any_adam_object | |
| author | Morales Ruiz, Juan J. |
| author_facet | Morales Ruiz, Juan J. |
| author_role | aut |
| author_sort | Morales Ruiz, Juan J. |
| author_variant | r j j m rjj rjjm |
| building | Verbundindex |
| bvnumber | BV042421851 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184708540 (DE-599)BVBBV042421851 |
| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0723-4 |
| edition | 1999. Reprint 2013 of the 1999 edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04712nmm a2200637zc 4500</leader><controlfield tag="001">BV042421851</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1999 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034807234</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-0348-0723-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034807203</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-0348-0720-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-0348-0723-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184708540</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421851</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.352</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Morales Ruiz, Juan J.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Differential Galois Theory and Non-Integrability of Hamiltonian Systems</subfield><subfield code="c">by Juan J. Morales Ruiz</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1999. Reprint 2013 of the 1999 edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel</subfield><subfield code="b">Springer Basel</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIV, 167 p.)</subfield><subfield code="b">5 illus</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Modern Birkhäuser Classics</subfield><subfield code="x">2197-1803</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability is made precise within the framework of differential Galois theory. The connection of these two integrability notions is given by the variational equation (i.e. linearized equation) along a particular integral curve of the Hamiltonian system. The underlying heuristic idea, which motivated the main results presented in this monograph, is that a necessary condition for the integrability of a Hamiltonian system is the integrability of the variational equation along any of its particular integral curves. This idea led to the algebraic non-integrability criteria for Hamiltonian systems. </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">These criteria can be considered as generalizations of classical non-integrability results by Poincaré and Lyapunov, as well as more recent results by Ziglin and Yoshida. Thus, by means of the differential Galois theory it is not only possible to understand all these approaches in a unified way but also to improve them. Several important applications are also included: homogeneous potentials, Bianchi IX cosmological model, three-body problem, Hénon-Heiles system, etc. The book is based on the original joint research of the author with J.M. Peris, J.P. Ramis and C. Simó, but an effort was made to present these achievements in their logical order rather than their historical one. The necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new lines of research are proposed. </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">- - - The book is an excellent introduction to non-integrability methods in Hamiltonian mechanics and brings the reader to the forefront of research in the area. The inclusion of a large number of worked-out examples, many of wide applied interest, is commendable. There are many historical references, and an extensive bibliography. (Mathematical Reviews) For readers already prepared in the two prerequisite subjects [differential Galois theory and Hamiltonian dynamical systems], the author has provided a logically accessible account of a remarkable interaction between differential algebra and dynamics. (Zentralblatt MATH)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Field theory (Physics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential Equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ordinary Differential Equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global Analysis and Analysis on Manifolds</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Field Theory and Polynomials</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Galois-Theorie</subfield><subfield code="0">(DE-588)4155901-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hamiltonsches System</subfield><subfield code="0">(DE-588)4139943-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialalgebra</subfield><subfield code="0">(DE-588)4134657-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtintegrables System</subfield><subfield code="0">(DE-588)4462790-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialalgebra</subfield><subfield code="0">(DE-588)4134657-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Galois-Theorie</subfield><subfield code="0">(DE-588)4155901-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Hamiltonsches System</subfield><subfield code="0">(DE-588)4139943-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Nichtintegrables System</subfield><subfield code="0">(DE-588)4462790-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-0348-0723-4</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027857268</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042421851 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9783034807234 9783034807203 |
| issn | 2197-1803 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857268 |
| oclc_num | 1184708540 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XIV, 167 p.) 5 illus |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer Basel |
| record_format | marc |
| series2 | Modern Birkhäuser Classics |
| spelling | Morales Ruiz, Juan J. Verfasser aut Differential Galois Theory and Non-Integrability of Hamiltonian Systems by Juan J. Morales Ruiz 1999. Reprint 2013 of the 1999 edition Basel Springer Basel 1999 1 Online-Ressource (XIV, 167 p.) 5 illus txt rdacontent c rdamedia cr rdacarrier Modern Birkhäuser Classics 2197-1803 This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability is made precise within the framework of differential Galois theory. The connection of these two integrability notions is given by the variational equation (i.e. linearized equation) along a particular integral curve of the Hamiltonian system. The underlying heuristic idea, which motivated the main results presented in this monograph, is that a necessary condition for the integrability of a Hamiltonian system is the integrability of the variational equation along any of its particular integral curves. This idea led to the algebraic non-integrability criteria for Hamiltonian systems. These criteria can be considered as generalizations of classical non-integrability results by Poincaré and Lyapunov, as well as more recent results by Ziglin and Yoshida. Thus, by means of the differential Galois theory it is not only possible to understand all these approaches in a unified way but also to improve them. Several important applications are also included: homogeneous potentials, Bianchi IX cosmological model, three-body problem, Hénon-Heiles system, etc. The book is based on the original joint research of the author with J.M. Peris, J.P. Ramis and C. Simó, but an effort was made to present these achievements in their logical order rather than their historical one. The necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new lines of research are proposed. - - - The book is an excellent introduction to non-integrability methods in Hamiltonian mechanics and brings the reader to the forefront of research in the area. The inclusion of a large number of worked-out examples, many of wide applied interest, is commendable. There are many historical references, and an extensive bibliography. (Mathematical Reviews) For readers already prepared in the two prerequisite subjects [differential Galois theory and Hamiltonian dynamical systems], the author has provided a logically accessible account of a remarkable interaction between differential algebra and dynamics. (Zentralblatt MATH) Mathematics Field theory (Physics) Global analysis Differential Equations Ordinary Differential Equations Global Analysis and Analysis on Manifolds Field Theory and Polynomials Mathematik Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Differentialalgebra (DE-588)4134657-9 gnd rswk-swf Nichtintegrables System (DE-588)4462790-7 gnd rswk-swf Differentialalgebra (DE-588)4134657-9 s Galois-Theorie (DE-588)4155901-0 s 1\p DE-604 Hamiltonsches System (DE-588)4139943-2 s Nichtintegrables System (DE-588)4462790-7 s 2\p DE-604 https://doi.org/10.1007/978-3-0348-0723-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Morales Ruiz, Juan J. Differential Galois Theory and Non-Integrability of Hamiltonian Systems Mathematics Field theory (Physics) Global analysis Differential Equations Ordinary Differential Equations Global Analysis and Analysis on Manifolds Field Theory and Polynomials Mathematik Galois-Theorie (DE-588)4155901-0 gnd Hamiltonsches System (DE-588)4139943-2 gnd Differentialalgebra (DE-588)4134657-9 gnd Nichtintegrables System (DE-588)4462790-7 gnd |
| subject_GND | (DE-588)4155901-0 (DE-588)4139943-2 (DE-588)4134657-9 (DE-588)4462790-7 |
| title | Differential Galois Theory and Non-Integrability of Hamiltonian Systems |
| title_auth | Differential Galois Theory and Non-Integrability of Hamiltonian Systems |
| title_exact_search | Differential Galois Theory and Non-Integrability of Hamiltonian Systems |
| title_full | Differential Galois Theory and Non-Integrability of Hamiltonian Systems by Juan J. Morales Ruiz |
| title_fullStr | Differential Galois Theory and Non-Integrability of Hamiltonian Systems by Juan J. Morales Ruiz |
| title_full_unstemmed | Differential Galois Theory and Non-Integrability of Hamiltonian Systems by Juan J. Morales Ruiz |
| title_short | Differential Galois Theory and Non-Integrability of Hamiltonian Systems |
| title_sort | differential galois theory and non integrability of hamiltonian systems |
| topic | Mathematics Field theory (Physics) Global analysis Differential Equations Ordinary Differential Equations Global Analysis and Analysis on Manifolds Field Theory and Polynomials Mathematik Galois-Theorie (DE-588)4155901-0 gnd Hamiltonsches System (DE-588)4139943-2 gnd Differentialalgebra (DE-588)4134657-9 gnd Nichtintegrables System (DE-588)4462790-7 gnd |
| topic_facet | Mathematics Field theory (Physics) Global analysis Differential Equations Ordinary Differential Equations Global Analysis and Analysis on Manifolds Field Theory and Polynomials Mathematik Galois-Theorie Hamiltonsches System Differentialalgebra Nichtintegrables System |
| url | https://doi.org/10.1007/978-3-0348-0723-4 |
| work_keys_str_mv | AT moralesruizjuanj differentialgaloistheoryandnonintegrabilityofhamiltoniansystems |