VARIETY OF SYNCHRONOUS REGIMES IN ENSEMBLES OF NONIDENTICAL OSCILLATORS: Two coupled elements
Cite this article as:
Kryukov А. К., Osipov G. V. VARIETY OF SYNCHRONOUS REGIMES IN ENSEMBLES OF NONIDENTICAL OSCILLATORS: Two coupled elements. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 2, pp. 16-28. DOI: https://doi.org/10.18500/0869-6632-2009-17-2-16-28
We study synchronization of two coupled nonidentical Bonhoeffer–van der Pol oscillators. Coexistence of two different synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations influence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) fluctuations-caused bistability destruction; iii) fluc-tuations-caused intermittency of synchronous regimes without synchronization destruction.
1. Maurer J. and Libchaber A. // J.Phys (France) Lett. 1982. Vol. 41. P. 515.
2. Brun E., Derighette B., Meier D., Holzner R., and Raveni M. // J.Opt.Soc.Am. B. 1985. Vol. 2. P. 156.
3. Dangoisse D., Glorieux P., and Hennequin D. // Phys. Rev. A. 1987. Vol. 36. P. 4775.
4. Thompson J.M.T. and Stewart H.B. Nonlinear Dynamics and Chaos. Wiley, Chichester, 1986.
5. Foss J., Longtin A., Mensour B., and Milton J. // Phys. Rev. Lett. 1996. Vol. 76. P. 708.
6. Simonotto E., Riani M., Seife C., Roberts M., Twitty J., and Moss F. // Phys. Rev. Lett. 1997. Vol. 78. P. 1186.
7. Bonhoeffer K.F. // Naturwissenschaften. 1953. Vol. 40. P. 301.
8. Torre V. // J. Theor. Biol. 1976. Vol. 61. P. 55.
9. Матросов В.В. Динамика нелинейных систем. Программный комплекс для исследования нелинейных динамических систем с непрерывным временем. Н. Новгород, ННГУ, 2002.
10. Mantegna R.N. and Spagnolo B. // Phys. Rev. Lett. 1996. Vol. 395, No 4. P. 563.
11. Malakhov A.N. and Agudov N.V. // Phys. Rev. E. 1999. Vol. 60. P. 6333.
BibTeX
author = {А. К. Kryukov and G. V. Osipov },
title = {VARIETY OF SYNCHRONOUS REGIMES IN ENSEMBLES OF NONIDENTICAL OSCILLATORS: Two coupled elements},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/variety-of-synchronous-regimes-in-ensembles-of-nonidentical-oscillators-two-coupled},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-2-16-28},pages = {16--28},issn = {0869-6632},
keywords = {synchronization,multistability,synchronous regime,numerical methods,modeling,stochastic system,FitzHugh–Nagumo,Bonhoeffer–van der Pol.},
abstract = {We study synchronization of two coupled nonidentical Bonhoeffer–van der Pol oscillators. Coexistence of two different synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations influence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) fluctuations-caused bistability destruction; iii) fluc-tuations-caused intermittency of synchronous regimes without synchronization destruction. }}