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通过全局耦合杜芬振子中的共振实现动态双输入多输出逻辑门。

Implementation of dynamic dual input multiple output logic gate via resonance in globally coupled Duffing oscillators.

机构信息

PG & Research Department of Physics, Nehru Memorial College (Autonomous), Puthanampatti, Tiruchirapalli 621 007, India.

Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India.

出版信息

Chaos. 2017 Aug;27(8):083106. doi: 10.1063/1.4997758.

DOI:10.1063/1.4997758
PMID:28863500
Abstract

We have used a system of globally coupled double-well Duffing oscillators under an enhanced resonance condition to design and implement Dual Input Multiple Output (DIMO) logic gates. In order to enhance the resonance, the first oscillator in the globally coupled system alone is excited by two forces out of which one acts as a driving force and the other will be either sub-harmonic or super-harmonic in nature. We report that for an appropriate coupling strength, the second force coherently drives and enhances not only the amplitude of the weak first force to all the coupled systems but also drives and propagates the digital signals if any given to the first system. We then numerically confirm the propagation of any digital signal or square wave without any attenuation under an enhanced resonance condition for an amplitude greater than a threshold value. Further, we extend this idea for computing various logical operations and succeed in designing theoretically DIMO logic gates such as AND/NAND, OR/NOR gates with globally coupled systems.

摘要

我们使用了一种在增强共振条件下的全局耦合双阱杜芬振子系统来设计和实现双输入多输出(DIMO)逻辑门。为了增强共振,全局耦合系统中的第一个振子仅由两个力激发,其中一个力是驱动力,另一个力本质上是亚谐波或超谐波。我们报告说,对于适当的耦合强度,第二个力不仅可以相干地驱动和增强所有耦合系统中较弱的第一个力的幅度,而且如果施加到第一个系统的任何数字信号,它也可以驱动和传播该信号。然后,我们在增强的共振条件下,数值上确认了任何数字信号或方波的传播,而不会有任何衰减,只要幅度大于阈值。此外,我们将这个想法扩展到计算各种逻辑运算,并成功地在全局耦合系统中设计了理论上的 DIMO 逻辑门,如与门/NAND 门、或门/NOR 门。

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