Murali K, Rajasekar S, Aravind Manaoj V, Kohar Vivek, Ditto W L, Sinha Sudeshna
Department of Physics, Anna University, Chennai 600 025, India.
Department of Physics, Bharathidasan University, Tiruchirapalli 620 024, India.
Philos Trans A Math Phys Eng Sci. 2021 Mar 8;379(2192):20200238. doi: 10.1098/rsta.2020.0238. Epub 2021 Jan 18.
A two-state system driven by two inputs has been found to consistently produce a response mirroring a logic function of the two inputs, in an optimal window of moderate noise. This phenomenon is called logical stochastic resonance (LSR). We extend the conventional LSR paradigm to implement higher-level logic architecture or typical digital electronic structures via carefully crafted coupling schemes. Further, we examine the intriguing possibility of obtaining reliable logic outputs from a noise-free bistable system, subject only to periodic forcing, and show that this system also yields a phenomenon analogous to LSR, termed Logical Vibrational Resonance (LVR), in an appropriate window of frequency and amplitude of the periodic forcing. Lastly, this approach is extended to realize morphable logic gates through the Logical Coherence Resonance (LCR) in excitable systems under the influence of noise. The results are verified with suitable circuit experiments, demonstrating the robustness of the LSR, LVR and LCR phenomena. This article is part of the theme issue 'Vibrational and stochastic resonance in driven nonlinear systems (part 1)'.
已发现由两个输入驱动的双态系统在中等噪声的最佳窗口中始终产生反映两个输入逻辑函数的响应。这种现象称为逻辑随机共振（LSR）。我们通过精心设计的耦合方案扩展了传统的LSR范式，以实现更高级别的逻辑架构或典型的数字电子结构。此外，我们研究了从仅受周期性强迫的无噪声双稳系统获得可靠逻辑输出的有趣可能性，并表明该系统在周期性强迫的频率和幅度的适当窗口中也会产生类似于LSR的现象，称为逻辑振动共振（LVR）。最后，这种方法扩展到通过噪声影响下的可激发系统中的逻辑相干共振（LCR）来实现可变形逻辑门。通过适当的电路实验验证了结果，证明了LSR、LVR和LCR现象的鲁棒性。本文是主题为“驱动非线性系统中的振动和随机共振（第1部分）”的一部分。
