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[67720] Artykuł: Metamorphoses of Amplitude Curves in a System of Coupled Oscillators. The Case of Degenerate Singular PointsCzasopismo: AIP Conference Proceedings Tom: 1922, Zeszyt: 1, Strony: 1-6ISSN: 0094-243X ISBN: 978-0-7354-1614-7 Wydawca: AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA Opublikowano: Styczeń 2018 Seria wydawnicza: AIP Conference Proceedings Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Materiały z konferencji międzynarodowej (zarejestrowane w Web of Science) Punkty MNiSW: 15 Klasyfikacja Web of Science: Proceedings Paper Pełny tekst DOI Web of Science Keywords: |
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are determined within the Krylov-Bogoliubov-Mitropolsky (KBM) approach and the corresponding amplitude profiles are computed. Metamorphoses of these amplitude curves induced by changes of control parameters and the resulting changes of dynamics are studied. In the present paper we investigate changes of dynamics near degenerate singular points of the amplitude profiles.