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

бегущие волны

Multistability in an ensemble of phase oscillators with long-distance couplings

The work is devoted to investigation of multistability of running waves in a ring of periodic oscillators with diffusive non-local couplings. It analyzes the influence of long-range couplings and their change with distance on the stability of spatially-periodic regimes with different wave numbers. The research are carried out by numerical (computer) experiments. The system under study is an ensemble of identical phase oscillators.

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.