Nonlinear Systems

Periodic model containing coupled subsystems with different types of oscillations

V. N. Tkhai

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

Abstract: The periodic model containing coupled subsystems (MCCS) is considered. MCCS decouples into systems of autonomic ordinary differential equations when the coupling between the subsystems vanishes. The subsystems are supposed to admit of various types of non-degenerate single-frequency oscillations. For the MCCS the following problems are solved: existence of oscillations and their stability, natural stabilization of oscillations by smooth time-periodic coupling controls. An example is given.

Keywords: model, coupled subsystems, oscillation, types, stability, natural stabilization.

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 21.11.2017
Revised: 09.08.2018
Accepted: 08.11.2018

DOI: 10.1134/S0005231019030048

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