Potentials Unbounded Below
Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to particle motion in an underlying potential, V. Typically, V has no lower bound and...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146859 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Potentials Unbounded Below / T. Curtright // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
| spelling |
irk-123456789-1468592019-02-12T01:24:21Z Potentials Unbounded Below Curtright, T. Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to particle motion in an underlying potential, V. Typically, V has no lower bound and can exhibit switchbacks wherein V changes form when turning points are encountered by the particle. The Beverton-Holt and Skellam models of population dynamics, and particular cases of the logistic map are used to illustrate these features. 2011 Article Potentials Unbounded Below / T. Curtright // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37C99; 37D45; 37E05; 37J05; 37M99; 39B22 DOI:10.3842/SIGMA.2011.042 http://dspace.nbuv.gov.ua/handle/123456789/146859 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 |
Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to particle motion in an underlying potential, V. Typically, V has no lower bound and can exhibit switchbacks wherein V changes form when turning points are encountered by the particle. The Beverton-Holt and Skellam models of population dynamics, and particular cases of the logistic map are used to illustrate these features. |
| format |
Article |
| author |
Curtright, T. |
| spellingShingle |
Curtright, T. Potentials Unbounded Below Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Curtright, T. |
| author_sort |
Curtright, T. |
| title |
Potentials Unbounded Below |
| title_short |
Potentials Unbounded Below |
| title_full |
Potentials Unbounded Below |
| title_fullStr |
Potentials Unbounded Below |
| title_full_unstemmed |
Potentials Unbounded Below |
| title_sort |
potentials unbounded below |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146859 |
| citation_txt |
Potentials Unbounded Below / T. Curtright // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT curtrightt potentialsunboundedbelow |
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2023-05-20T17:25:53Z |
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2023-05-20T17:25:53Z |
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1796153278627577856 |