Спiвiснування кратних аттракторiв, гiстерезису та коливального резонансу в класичному осциляторi Морса, що збуджується сигналом, з модульованою амплiтудою
We consider the classical Morse oscillator driven by an amplitude modulated signal with two widely different frequencies w and Ω, where Ω ≫ w. The dynamics of such oscillator is numerically studied for a specific set of parameters. We show the occurrence of coexistence of several period-T orbits, bi...
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| Datum: | 2018 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Publishing house "Academperiodika"
2018
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| Online Zugang: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018728 |
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| Назва журналу: | Ukrainian Journal of Physics |
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Ukrainian Journal of Physics| Zusammenfassung: | We consider the classical Morse oscillator driven by an amplitude modulated signal with two widely different frequencies w and Ω, where Ω ≫ w. The dynamics of such oscillator is numerically studied for a specific set of parameters. We show the occurrence of coexistence of several period-T orbits, bifurcations of them, and hysteresis and vibrational resonance phenomena. We characterize the periodic and chaotic orbits, hysteresis, and vibrational resonance with the use of the bifurcation diagram and response amplitude. |
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| DOI: | 10.15407/ujpe62.01.0051 |