Frequency locking of periodic solutions to differential equations with impulsive perturbations

• Datum: 2022
• Hauptverfasser: Dvornyk, A. V., Tkachenko, V. I., Дворник, А. В., Ткаченко, В. I., Tkachenko, Viktor
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7138
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...