This article is cited in 2 papers

Robust, Adaptive and Network Control

Synchronization and collective motion of a group of weakly coupled identical oscillators

A. Г. Galyaev, P. V. Lysenko

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: The phenomena of synchronization for a large number of weakly coupled oscillators with dissipative couplings are studied. These couplings are taken into account in the system's dynamic equations in the form of diffusion matrices, guaranteeing asymptotically stable oscillations of the ensemble as a whole. As illustrative examples, three types of interaction of oscillators are considered, namely, interaction with each other, interaction with the nearest neighbors, and circular interaction with the nearest neighbors.

Keywords: linear systems, synchronization, weakly coupled oscillators, multiagent systems.

Presented by the member of Editorial Board: M. V. Khlebnikov

Received: 12.08.2019
Revised: 18.09.2019
Accepted: 28.11.2019

DOI: 10.31857/S0005231020060050

 English version: Automation and Remote Control, 2020, 81:6, 1017–1036

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