Self-Synchronization in a System of Nonlinear van Der Pol Oscillators

Author(s) I.A. Knyaz’ , A.N. Vitrenko
Affiliations Sumy State University, 2, Rimsky-Korsakov Street, 40007, Sumy, Ukraine
Issue Volume 2, Year 2010, Number 4
Dates Received 23 November 2010, in final form 14 December 2010
Citation I.A. Knyaz’, A.N. Vitrenko, J. Nano- Electron. Phys. 2 No4, 109 (2010)
PACS Number(s) 05.45.Xt
Key words Phase synchronization, Coupled oscillators, Feedback, Self-synchronization, Chaotic dynamics.
The questions of self-synchronization in a system of weakly nonlinear feedback oscillators by the example of two self-oscillating van der Pol systems are discussed. It is shown that synchronization occurs in a narrow range of values of the coupling parameter; outside of this range the dynamics of the system is autonomous. It is shown that the breaking of synchronization is connected with the change in the topology of the attractors, which are phase incoherent.