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


ансамбли осцилляторов

Reconstruction of coupling architecture and parameters of time-delayed oscillators in ensembles from time series

Purpose. To suggest a new approach to reconstruction of couping architecture and individual parameters of first-order time-delayed oscillators from experimental series of their oscillations. Method. The method is based on minimization of target function, which characterizes a distance between points of nonlinear function of a current oscillator, which is to be reconstructed. Then estimated coupling coefficients are split into significant and insignificant. Minimization of target function is processed with least squares routine.

MULTISTABILITY OF TRAVELING WAVES IN AN ENSEMBLE OF HARMONIC OSCILLATORS WITH LONG-RANGE COUPLINGS

The work is devoted to study of multistability of traveling waves in a ring of harmonic oscillators with a linear non-local couplings. It analyses the influence of the strength and radius of the couplings on stability of spatially periodic regimes with different values of their wavelengths. The system under study is an array of identical van der Pol generators in the approximation of quasi-harmonic oscillations.