Gupta Animesh, Sohane Aman, Kohar Vivek, Murali K, Sinha Sudeshna
Indian Institute of Technology Bombay, Powai, Mumbai, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Nov;84(5 Pt 2):055201. doi: 10.1103/PhysRevE.84.055201. Epub 2011 Nov 17.
The phenomena of logical stochastic resonance (LSR) was demonstrated recently [Phys. Rev. Lett. 102, 104101 (2009)]: namely, when a bistable system is driven by two inputs it consistently yields a response mirroring a logic function of the two inputs in an optimal window of moderate noise. Here we examine the intriguing possibility of obtaining dynamical behavior equivalent to LSR in a noise-free bistable system, subjected only to periodic forcing, such as sinusoidal driving or rectangular pulse trains. We find that such a system, despite having no stochastic influence, also yields phenomena analogous to LSR, in an appropriate window of frequency and amplitude of the periodic forcing. The results are corroborated by circuit experiments.
逻辑随机共振（LSR）现象最近得到了证实[《物理评论快报》102, 104101 (2009)]：也就是说，当一个双稳系统由两个输入驱动时，在适度噪声的最佳窗口内，它始终会产生反映这两个输入逻辑函数的响应。在此，我们研究了在仅受周期性强迫（如正弦驱动或矩形脉冲序列）的无噪声双稳系统中获得等同于LSR的动力学行为的有趣可能性。我们发现，这样一个系统尽管没有随机影响，但在周期性强迫的频率和幅度的适当窗口内也会产生类似于LSR的现象。电路实验证实了这些结果。
