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

Cite this article as:

Krjukov A. K., Osipov G. V., Polovinkin A. 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:


Variety of synchronous regimes in ensembles of nonidentical oscillators: two coupled elements


We study synchronization of two coupled nonidentical Bonhoe?er–van der Pol oscillators. Coexistence of two di?erent synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations in?uence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) ?uctuations-caused bistability destruction; iii) ?uc-tuations-caused intermittency of synchronous regimes without synchronization destruction.

Key words: 

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.

Short text (in English): 
Full text: