Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials
Two non-harmonic canonical-dissipative limit cycle oscillators are considered that oscillate in one-dimensional Smorodinsky-Winternitz potentials. It is shown that the standard approach of the canonical-dissipative framework to introduce dissipative forces leads naturally to a coupling force betwee...
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2017
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157035 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials / S. Mongkolsakulvong, T.D. Frank // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 44001: 1–7. — Бібліогр.: 30 назв. — англ. |
Репозитарії
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irk-123456789-1570352019-06-20T01:27:47Z Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials Mongkolsakulvong, S. Frank, T.D. Two non-harmonic canonical-dissipative limit cycle oscillators are considered that oscillate in one-dimensional Smorodinsky-Winternitz potentials. It is shown that the standard approach of the canonical-dissipative framework to introduce dissipative forces leads naturally to a coupling force between the oscillators that establishes synchronization. The non-harmonic character of the limit cycles in the context of anchoring, the phase difference between the synchronized oscillators, and the degree of synchronization are studied in detail. Розглянуто канонiчно-дисипативнi граничнi цикли для двох негармонiчних осциляторiв, що коливаються в одномiрних потенцiалах Смородинського-Вiнтернiца. Показано, що стандартний канонiчнодисипативний пiдхiд iз введенням дисипативних сил природно приводить до появи взаємодiї мiж осциляторами, яка синхронiзує їх рух. Детально дослiджено негармонiчний характер граничних циклiв у контекстi анкерування, рiзницю фаз мiж синхронiзованими осциляторами та ступiнь їх синхронiзацiї. 2017 Article Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials / S. Mongkolsakulvong, T.D. Frank // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 44001: 1–7. — Бібліогр.: 30 назв. — англ. 1607-324X PACS: 05.45.-a, 05.40.Jc, 87.19.rs DOI:10.5488/CMP.20.44001 arXiv:1712.05378 http://dspace.nbuv.gov.ua/handle/123456789/157035 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Two non-harmonic canonical-dissipative limit cycle oscillators are considered that oscillate in one-dimensional
Smorodinsky-Winternitz potentials. It is shown that the standard approach of the canonical-dissipative framework to introduce dissipative forces leads naturally to a coupling force between the oscillators that establishes
synchronization. The non-harmonic character of the limit cycles in the context of anchoring, the phase difference between the synchronized oscillators, and the degree of synchronization are studied in detail. |
| format |
Article |
| author |
Mongkolsakulvong, S. Frank, T.D. |
| spellingShingle |
Mongkolsakulvong, S. Frank, T.D. Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials Condensed Matter Physics |
| author_facet |
Mongkolsakulvong, S. Frank, T.D. |
| author_sort |
Mongkolsakulvong, S. |
| title |
Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials |
| title_short |
Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials |
| title_full |
Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials |
| title_fullStr |
Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials |
| title_full_unstemmed |
Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials |
| title_sort |
synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via smorodinsky-winternitz potentials |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157035 |
| citation_txt |
Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials / S. Mongkolsakulvong, T.D. Frank // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 44001: 1–7. — Бібліогр.: 30 назв. — англ. |
| series |
Condensed Matter Physics |
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AT mongkolsakulvongs synchronizationandanchoringoftwononharmoniccanonicaldissipativeoscillatorsviasmorodinskywinternitzpotentials AT franktd synchronizationandanchoringoftwononharmoniccanonicaldissipativeoscillatorsviasmorodinskywinternitzpotentials |
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2023-05-20T17:51:17Z |
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2023-05-20T17:51:17Z |
| _version_ |
1796154246553403392 |