SYNCHRONIZATION OF SPATIAL-PERIODIC MODES IN THE RING OF OSCILLATORS WITH PHASE MULTYSTABILITY

Cite this article as:

Astakhov V. V., Scherbakov P. А., Koblyanskiy S. А., Shabunin А. V. SYNCHRONIZATION OF SPATIAL-PERIODIC MODES IN THE RING OF OSCILLATORS WITH PHASE MULTYSTABILITY. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 4, pp. 65-73. DOI: https://doi.org/10.18500/0869-6632-2008-16-4-65-73

We study external synchronization of periodic oscillations in a ring of oscillators driven by periodic force. It is shown that each multistable state that co-exists in the system possesses its own synchronization region. We ﬁnd that the periodic force with a certain frequency applied to one of the oscillators enables to switch the ring to another stable regime.

Authors:

Astakhov V. V., Yuri Gagarin State Technical University of Saratov, ul. Politechnicheskaya, 77, Saratov, 410054, Russia , v-astakhov@yandex.ru

Scherbakov P. А., Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, Russia , scherbakov@chaos.ssu.runnet.ru

Koblyanskiy S. А., Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, Russia , sergeyk@chaos.ssu.runnet.ru

Shabunin А. V., Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, Russia , shabuninav@info.sgu.ru

Key words:

DOI:

10.18500/0869-6632-2008-16-4-65-73

Literature

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4. Заславский Г.М., Сагдеев Р.З. Введение в нелинейную физику (от маятника до турбулентности и хаоса). М.: Гл. ред. ФМЛ,1988.

5. Cross M.G., Hohenberg P.C. Pattern formation outside of equilibrium // Rev. Mod. Phys. 1993. Vol. 65, No 3. P. 851.

6. Шабунин А.В., Акопов А.А., Астахов В.В., Вадивасова Т.Е. Бегущие волны в дискретной ангармонической автоколебательной среде // Изв. вузов. Прикладная нелинейная динамика. 2005. Т. 13, No 4. C. 37.

Journal issue:

«Известия вузов. ПНД», 2008, т. 16, №4,

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Journal in journal

Status:

одобрено к публикации

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BibTeX

@article{Астахов -IzvVUZ_AND-16-4-65,
author = {V. V. Astakhov and P. А. Scherbakov and S. А. Koblyanskiy and А. V. Shabunin},
title = {SYNCHRONIZATION OF SPATIAL-PERIODIC MODES IN THE RING OF OSCILLATORS WITH PHASE MULTYSTABILITY},
year = {2008},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {16},number = {4},
url = {https://old-andjournal.sgu.ru/en/articles/synchronization-of-spatial-periodic-modes-in-the-ring-of-oscillators-with-phase},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2008-16-4-65-73},pages = {65--73},issn = {0869-6632},
keywords = {-},
abstract = {We study external synchronization of periodic oscillations in a ring of oscillators driven by periodic force. It is shown that each multistable state that co-exists in the system possesses its own synchronization region. We ﬁnd that the periodic force with a certain frequency applied to one of the oscillators enables to switch the ring to another stable regime. }}