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


For citation:

Osipov G. V., Sushik M. M. The mechanism of the formation of localized structures in coupled chains of self-excited oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 1, pp. 24-29. DOI: 10.18500/0869-6632-1994-2-1-24-29

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 0)
Language: 
Russian
Article type: 
Article
UDC: 
532.517

The mechanism of the formation of localized structures in coupled chains of self-excited oscillators

Autors: 
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Sushik Mihail Mihajlovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

We present a new mechanism responsible for the formation of localized structures in ensembles of self—excited oscillators that is associated with the effects of oscillator death as result of breaking of the phase—locking regime.

Key words: 
Acknowledgments: 
This work was partially supported by the Russian Foundation for Basic Research (project 93-02-15424).
Reference: 
  1. Drendel SD, Khors NP, Vasilev VА. Smooth muscle tissue cell synchronisation mode. In: Dynamics of Cell Populations. Gorky: Gorky Univetsity Publishing; 1984. P. 108.
  2. Vasilyev VA, Romanovskii YuМ, Yakhno VG. Autowave Processes. М.: Nauka; 1987. 240 p.
  3. Bar—Eli К. On the stability of coupled chemical oscillators. Physica D. 1985;14(2):242-252. DOI: 10.1016/0167-2789(85)90182-4.
  4. Ermentrout GB. Oscillator death in populations of «all to all» coupled nonlinear oscillators. Physica D. 1990;41(2):219-231. DOI: 10.1016/0167-2789(90)90124-8.
  5. Aronson DG, Ermentrout GB, Kopell N. Amplitude response of coupled oscillators. Physica D. 1990;41(3):403-449. DOI: 10.1016/0167-2789(90)90007-C.
Received: 
22.03.1994
Accepted: 
29.04.1994
Published: 
27.06.1994