V. N. Tkhai, “An attracting cycle in a coupled mechanical system with phase shifts in subsystem oscillations”, Avtomat. i Telemekh., 2023, Issue 12,Pages <nobr>120

This article is cited in 3 papers

Nonlinear Systems

An attracting cycle in a coupled mechanical system with phase shifts in subsystem oscillations

V. N. Tkhai

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: This paper considers the set of reversible mechanical systems with single-period oscillations and individual phase shifts in them. The problem of aggregating a coupled system with an attracting cycle is solved. The approach developed below is to choose a leader (control) system that acts on the other (follower) systems through one-way coupling control: in an aggregated system, there are no links between follower systems. Universal coupling controls are used. Particular attention is paid to conservative systems. Possible scenarios for the operation of the aggregated system are presented.

Keywords: reversible mechanical system, symmetric periodic motions, coupling controls, leader system, follower system, attracting cycle, stabilization.

Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 24.04.2023
Revised: 19.09.2023
Accepted: 30.09.2023

DOI: 10.31857/S0005231023120103