Jeevarathinam C, Rajasekar S, Sanjuán M A F
School of Physics, Bharathidasan University, Tiruchirappalli 620 024, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):066205. doi: 10.1103/PhysRevE.83.066205. Epub 2011 Jun 13.
The influence of linear time-delayed feedback on vibrational resonance is investigated in underdamped and overdamped Duffing oscillators with double-well and single-well potentials driven by both low frequency and high frequency periodic forces. This task is performed through both theoretical approach and numerical simulation. Theoretically determined values of the amplitude of the high frequency force and the delay time at which resonance occurs are in very good agreement with the numerical simulation. A major consequence of time-delayed feedback is that it gives rise to a periodic or quasiperiodic pattern of vibrational resonance profile with respect to the time-delayed parameter. An appropriate time delay is shown to induce a resonance in an overdamped single-well system which is otherwise not possible. For a range of values of the time-delayed parameters, the response amplitude is found to be larger than in delay-time feedback-free systems.
研究了线性时延反馈对欠阻尼和过阻尼杜芬振子振动共振的影响，这些振子具有双阱和单阱势，由低频和高频周期力驱动。该任务通过理论方法和数值模拟来完成。理论确定的高频力振幅值和发生共振的延迟时间与数值模拟结果非常吻合。时延反馈的一个主要结果是，相对于时延参数，它会产生振动共振分布的周期性或准周期性模式。结果表明，适当的时间延迟会在过阻尼单阱系统中引发共振，而在其他情况下这是不可能的。对于一系列时延参数值，发现响应振幅比无时延反馈系统中的更大。
