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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Збережено в:
Бібліографічні деталі
Дата:2017
Автори: Mongkolsakulvong, S., Frank, T.D.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2017
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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Резюме: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.