Frequency locking of periodic solutions to differential equations with impulsive perturbations

UDC 517.9 We present sufficient conditions for the frequency locking of an orbitally asymptotically stable periodic solution of a system of autonomous differential equations with small impulsive perturbations. We introduce local coordinates in the neighborhood of stable invariant cycle and prove the...

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Bibliographic Details
Date:2022
Main Authors: Dvornyk, A. V., Tkachenko, V. I., Дворник, А. В., Ткаченко, В. I., Tkachenko, Viktor
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7138
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal