Coexistence of Multiple Attractors, Hysteresis, and Vibrational Resonance in the Classical Morse Oscillator Driven by an Amplitude Modulated Signal
Keywords:classical Morse oscillator, coexistence of multiple attractors, hysteresis, vibrational resonance, amplitude modulated signal
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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