Dispersion relations of the
lattice of global coupling oscillators
V. N. Kornienko 1), A. P. Privezentsev 2),
V. A. Cherepenin 1)
1) Kotelínikov Institute of Radio-engineering and
Electronics, Fryazino branch
Chelyabinsk State University
June 12, 2013
Abstract. We obtain the dispersion
relations for the two-dimensional lattice and the one-dimensional chain of
oscillators coupled by a common field. The two cases (when the communication is
done through the displacement of oscillators and their time derivatives) were considered.
The closed dispersion equations, which containing elementary
functions only, were obtained in one-dimensional case. The analysis of the
behavior of dispersion characteristics for the various parameters of the system
Keywords: metamaterials, oscillators, global coupling.