Hysteresis and Vibrational Reasonance in Two Coupled-Van Der Pol Oscillators Driven by An Amplitude Modulated Signal


Hysteresis and Vibrational Reasonance in Two Coupled-Van Der Pol Oscillators Driven by An Amplitude Modulated Signal

B. Bhuvaneshwari, V. Bala Shunmuga Jothi, S. Selvaraj and 1V.Chinnathambi

B. Bhuvaneshwari, V. Bala Shunmuga Jothi, S. Selvaraj and 1V.Chinnathambi "Hysteresis and Vibrational Reasonance in Two Coupled-Van Der Pol Oscillators Driven by An Amplitude Modulated Signal" Published in International Journal of Trend in Research and Development (IJTRD), ISSN: 2394-9333, Special Issue | REDEEMS-18 , February 2018, URL: http://www.ijtrd.com/papers/IJTRD15961.pdf

We consider two coupled Duffing-vander Pol (DVP) oscillators with a nonlinear coupling and driven by an amplitude modulated (AM) signal. We numerically study the effect of nonlinear coupling (d), low and high-frequency components of AM signal for the cases of four types of potentials, namely, single-well, double-well, four-well and four-hump potentials. We show the occurrence of hysteresis and vibrational resonance (VR) for specific set of values of the parameters of the system. We characterize the phenomena such as hysteresis and VR by using bifurcation diagram and response amplitude (Q).

Coupled DVP oscillators, Nonlinear coupling, AM signal, Hysteresis, Chaos, Vibrational resonance.


Special Issue | REDEEMS-18 , February 2018

2394-9333

IJTRD15961