Eintrag weiter verarbeiten
Goldfishing: A new solvable many-body problem
Gespeichert in:
| Zeitschriftentitel: | Journal of Mathematical Physics |
|---|---|
| Personen und Körperschaften: | , |
| In: | Journal of Mathematical Physics, 47, 2006, 10 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
|
| Schlagwörter: |
| author_facet |
Bruschi, M. Calogero, F. Bruschi, M. Calogero, F. |
|---|---|
| author |
Bruschi, M. Calogero, F. |
| spellingShingle |
Bruschi, M. Calogero, F. Journal of Mathematical Physics Goldfishing: A new solvable many-body problem Mathematical Physics Statistical and Nonlinear Physics |
| author_sort |
bruschi, m. |
| spelling |
Bruschi, M. Calogero, F. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.2344850 <jats:p>A recent technique allows one to identify and investigate solvable dynamical systems naturally interpretable as classical many-body problems, being characterized by equations of motion of Newtonian type (generally in two-dimensional space). In this paper we tersely review results previously obtained in this manner and present novel findings of this kind: mainly solvable variants of the goldfish many-body model, including models that feature isochronous classes of completely periodic solutions. Different formulations of these models are presented. The behavior of one of these isochronous dynamical systems in the neighborhood of its equilibrium configuration is investigated, and in this manner some remarkable Diophantine findings are obtained.</jats:p> Goldfishing: A new solvable many-body problem Journal of Mathematical Physics |
| doi_str_mv |
10.1063/1.2344850 |
| facet_avail |
Online |
| finc_class_facet |
Mathematik Physik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjIzNDQ4NTA |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjIzNDQ4NTA |
| institution |
DE-L229 DE-D275 DE-Bn3 DE-Brt1 DE-D161 DE-Gla1 DE-Zi4 DE-15 DE-Pl11 DE-Rs1 DE-105 DE-14 DE-Ch1 |
| imprint |
AIP Publishing, 2006 |
| imprint_str_mv |
AIP Publishing, 2006 |
| issn |
1089-7658 0022-2488 |
| issn_str_mv |
1089-7658 0022-2488 |
| language |
English |
| mega_collection |
AIP Publishing (CrossRef) |
| match_str |
bruschi2006goldfishinganewsolvablemanybodyproblem |
| publishDateSort |
2006 |
| publisher |
AIP Publishing |
| recordtype |
ai |
| record_format |
ai |
| series |
Journal of Mathematical Physics |
| source_id |
49 |
| title |
Goldfishing: A new solvable many-body problem |
| title_unstemmed |
Goldfishing: A new solvable many-body problem |
| title_full |
Goldfishing: A new solvable many-body problem |
| title_fullStr |
Goldfishing: A new solvable many-body problem |
| title_full_unstemmed |
Goldfishing: A new solvable many-body problem |
| title_short |
Goldfishing: A new solvable many-body problem |
| title_sort |
goldfishing: a new solvable many-body problem |
| topic |
Mathematical Physics Statistical and Nonlinear Physics |
| url |
http://dx.doi.org/10.1063/1.2344850 |
| publishDate |
2006 |
| physical |
|
| description |
<jats:p>A recent technique allows one to identify and investigate solvable dynamical systems naturally interpretable as classical many-body problems, being characterized by equations of motion of Newtonian type (generally in two-dimensional space). In this paper we tersely review results previously obtained in this manner and present novel findings of this kind: mainly solvable variants of the goldfish many-body model, including models that feature isochronous classes of completely periodic solutions. Different formulations of these models are presented. The behavior of one of these isochronous dynamical systems in the neighborhood of its equilibrium configuration is investigated, and in this manner some remarkable Diophantine findings are obtained.</jats:p> |
| container_issue |
10 |
| container_start_page |
0 |
| container_title |
Journal of Mathematical Physics |
| container_volume |
47 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792332117692121100 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T13:51:46.708Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Goldfishing%3A+A+new+solvable+many-body+problem&rft.date=2006-10-01&genre=article&issn=1089-7658&volume=47&issue=10&jtitle=Journal+of+Mathematical+Physics&atitle=Goldfishing%3A+A+new+solvable+many-body+problem&aulast=Calogero&aufirst=F.&rft_id=info%3Adoi%2F10.1063%2F1.2344850&rft.language%5B0%5D=eng |
| SOLR | |
| _version_ | 1792332117692121100 |
| author | Bruschi, M., Calogero, F. |
| author_facet | Bruschi, M., Calogero, F., Bruschi, M., Calogero, F. |
| author_sort | bruschi, m. |
| container_issue | 10 |
| container_start_page | 0 |
| container_title | Journal of Mathematical Physics |
| container_volume | 47 |
| description | <jats:p>A recent technique allows one to identify and investigate solvable dynamical systems naturally interpretable as classical many-body problems, being characterized by equations of motion of Newtonian type (generally in two-dimensional space). In this paper we tersely review results previously obtained in this manner and present novel findings of this kind: mainly solvable variants of the goldfish many-body model, including models that feature isochronous classes of completely periodic solutions. Different formulations of these models are presented. The behavior of one of these isochronous dynamical systems in the neighborhood of its equilibrium configuration is investigated, and in this manner some remarkable Diophantine findings are obtained.</jats:p> |
| doi_str_mv | 10.1063/1.2344850 |
| facet_avail | Online |
| finc_class_facet | Mathematik, Physik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjIzNDQ4NTA |
| imprint | AIP Publishing, 2006 |
| imprint_str_mv | AIP Publishing, 2006 |
| institution | DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1 |
| issn | 1089-7658, 0022-2488 |
| issn_str_mv | 1089-7658, 0022-2488 |
| language | English |
| last_indexed | 2024-03-01T13:51:46.708Z |
| match_str | bruschi2006goldfishinganewsolvablemanybodyproblem |
| mega_collection | AIP Publishing (CrossRef) |
| physical | |
| publishDate | 2006 |
| publishDateSort | 2006 |
| publisher | AIP Publishing |
| record_format | ai |
| recordtype | ai |
| series | Journal of Mathematical Physics |
| source_id | 49 |
| spelling | Bruschi, M. Calogero, F. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.2344850 <jats:p>A recent technique allows one to identify and investigate solvable dynamical systems naturally interpretable as classical many-body problems, being characterized by equations of motion of Newtonian type (generally in two-dimensional space). In this paper we tersely review results previously obtained in this manner and present novel findings of this kind: mainly solvable variants of the goldfish many-body model, including models that feature isochronous classes of completely periodic solutions. Different formulations of these models are presented. The behavior of one of these isochronous dynamical systems in the neighborhood of its equilibrium configuration is investigated, and in this manner some remarkable Diophantine findings are obtained.</jats:p> Goldfishing: A new solvable many-body problem Journal of Mathematical Physics |
| spellingShingle | Bruschi, M., Calogero, F., Journal of Mathematical Physics, Goldfishing: A new solvable many-body problem, Mathematical Physics, Statistical and Nonlinear Physics |
| title | Goldfishing: A new solvable many-body problem |
| title_full | Goldfishing: A new solvable many-body problem |
| title_fullStr | Goldfishing: A new solvable many-body problem |
| title_full_unstemmed | Goldfishing: A new solvable many-body problem |
| title_short | Goldfishing: A new solvable many-body problem |
| title_sort | goldfishing: a new solvable many-body problem |
| title_unstemmed | Goldfishing: A new solvable many-body problem |
| topic | Mathematical Physics, Statistical and Nonlinear Physics |
| url | http://dx.doi.org/10.1063/1.2344850 |