ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Astahov V. V., Sherbakov P. A., Kobljanskij S. A., Shabunin A. 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: 10.18500/0869-6632-2008-16-4-65-73

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text:
(downloads: 70)
Language: 
Russian
Article type: 
Article
UDC: 
517.9

Synchronization of spatial-periodic modes in the ring of oscillators with phase multystability

Autors: 
Astahov Vladimir Vladimirovich, Yuri Gagarin State Technical University of Saratov
Sherbakov Pavel Aleksandrovich, Saratov State University
Kobljanskij Sergej Andreevich, Saratov State University
Shabunin Aleksej Vladimirovich, Saratov State University
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.

Key words: 
Reference: 
  1. Блехман И.И. Синхронизация динамических систем. М.: Наука, 1971.
  2. Бхатнагар П. Нелинейные волны в одномерных дисперсных системах. М.: Мир, 1983.
  3. Васильев В.А., Романовский Ю.М. Автоволновые процессы. М.: Наука, 1987.
  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.
Received: 
11.12.2007
Accepted: 
13.03.2008
Published: 
31.10.2008
Short text (in English):
(downloads: 32)