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


synchronization

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.

INFLUENCE OF INERTIAL PROPERTIES AND DELAY OF THE MEAN FIELD ON THE COLLECTIVE DYNAMICS OF GLOBALLY COUPLED BISTABLE DELAYED-FEEDBACK OSCILLATORS

The features of collective dynamics of oscillators are studied in an ensemble of identical bistable time-delay systems globally coupled via the mean field. The influence of inertial properties and delay of the mean field on the collective dynamics of oscillators is considered. It is shown that a variety of oscillation regimes in the ensemble is caused by the presence of bistable states with considerably different basic frequencies in coupled oscillators.

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