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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 1, p.51-59
https://doi.org/10.15407/ujpe62.01.0051    Paper

Guruparan S.1, Ravichandran V.2, Chinnathambi V.2, Rajasekar S.3

1 Department of Chemistry, Sri K.G.S. Arts College
(Srivaikuntam 628 619, Tamilnadu, India)
2 Department of Physics, Sri K.G.S. Arts College
(Srivaikuntam 628 619, Tamilnadu, India)
3 School of Physics, Bharathidasan University
(Tiruchirapalli 620 024, Tamilnadu, India)

Coexistence of Multiple Attractors, Hysteresis, and Vibrational Resonance in the Classical Morse Oscillator Driven by an Amplitude Modulated Signal

Section: Nonlinear Processes
Original Author's Text:  English

Abstract: We consider the classical Morse oscillator driven by an amplitude modulated signal with two widely different frequencies and , where . The dynamics of such oscillator is numerically studied for a specific set of parameters. We show the occurrence of coexistence of several period 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.

Key words:  classical Morse oscillator, coexistence of multiple attractors, hysteresis, vibrational resonance, amplitude modulated signal.