Email this article Periodic Model Containing Coupled Subsystems with Different Types of Oscillations
- Authors: Tkhai V.N.1
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Affiliations:
- Trapeznikov Institute of Control Sciences
- Issue: Vol 80, No 3 (2019)
- Pages: 437-446
- Section: Nonlinear Systems
- URL: https://journals.rcsi.science/0005-1179/article/view/151317
- DOI: https://doi.org/10.1134/S0005117919030044
- ID: 151317
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Abstract
We consider a periodic model containing coupled subsystems (MCCS), which, when the coupling between subsystems vanishes, decomposes into systems of autonomous ordinary differential equations. We assume that the subsystems admit different types of non-degenerate single-frequency oscillations. We solve the problems of the existence of oscillations in the MCCS, their stability, natural stabilization of MCCS oscillations by smooth time-periodic coupling controls. We also provide an example.
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About the authors
V. N. Tkhai
Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: tkhaivn@yandex.ru
Russian Federation, Moscow
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