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Stabilization of optically coupled lasers with periodic pumping
We study a periodically forced system modeling the synchronization of two optically coupled lasers pumped by an alternating current. A necessary and sufficient condition for existence of a periodic solution is given, as well as a sufficient condition for uniqueness and asymptotic stability.
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| Language: | English |
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Інститут математики НАН України
2011
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/175512 |
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irk-123456789-1755122021-02-02T01:29:03Z Stabilization of optically coupled lasers with periodic pumping Torres, P.J. We study a periodically forced system modeling the synchronization of two optically coupled lasers pumped by an alternating current. A necessary and sufficient condition for existence of a periodic solution is given, as well as a sufficient condition for uniqueness and asymptotic stability. Вивчаються перiодично збурюванi системи, що моделюють синхронiзацiю двох оптично зв’язаних лазерiв, що накачуються за допомогою змiнного струму. Наведено необхiднi i достатнi умови iснування перiодичного розв’язку, а також достатню умову для його єдиностi та асимптотичної стiйкостi. 2011 Article Stabilization of optically coupled lasers with periodic pumping / P.J. Torres // Нелінійні коливання. — 2011. — Т. 14, № 3. — С. 392-399. — Бібліогр.: 11 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/175512 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We study a periodically forced system modeling the synchronization of two optically coupled lasers pumped by an alternating current. A necessary and sufficient condition for existence of a periodic solution is given, as well as a sufficient condition for uniqueness and asymptotic stability. |
| format |
Article |
| author |
Torres, P.J. |
| spellingShingle |
Torres, P.J. Stabilization of optically coupled lasers with periodic pumping Нелінійні коливання |
| author_facet |
Torres, P.J. |
| author_sort |
Torres, P.J. |
| title |
Stabilization of optically coupled lasers with periodic pumping |
| title_short |
Stabilization of optically coupled lasers with periodic pumping |
| title_full |
Stabilization of optically coupled lasers with periodic pumping |
| title_fullStr |
Stabilization of optically coupled lasers with periodic pumping |
| title_full_unstemmed |
Stabilization of optically coupled lasers with periodic pumping |
| title_sort |
stabilization of optically coupled lasers with periodic pumping |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/175512 |
| citation_txt |
Stabilization of optically coupled lasers with periodic pumping / P.J. Torres // Нелінійні коливання. — 2011. — Т. 14, № 3. — С. 392-399. — Бібліогр.: 11 назв. — англ. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
AT torrespj stabilizationofopticallycoupledlaserswithperiodicpumping |
| first_indexed |
2023-10-18T22:39:00Z |
| last_indexed |
2023-10-18T22:39:00Z |
| _version_ |
1796156074104979456 |