基于准周期驱动Murali-Lakshmanan-Chua电路的动态逻辑门和R-S触发器的设计与实现
Design and implementation of dynamic logic gates and R-S flip-flop using quasiperiodically driven Murali-Lakshmanan-Chua circuit
摘要：
本文研究了方波信号在准周期驱动的Murali-Lakshmanan-Chua（QPDMLC）电路系统中的传播。据观察，信号传播仅在方波或数字信号的某一阈值强度以上是可能的，并且阈值幅度以上的所有值被称为“信号传播区域”。然后，我们扩展这个信号传播区域以执行各种逻辑操作，如AND/NAND/OR/NOR，因此它也被指定为“逻辑操作区域”。在此基础上，我们提出了实现动态逻辑门，即AND/NAND/OR/NOR，它可以在不改变系统参数的情况下由非对称输入方波决定。此外，我们表明，一个单一的QPDMLC系统将同时产生两个输出是互补的。因此，单个QPDMLC系统同时产生AND以及NAND或OR以及NOR门。然后，我们结合相应的两个QPDMLC系统在交叉耦合的方式，并报告其动力学模仿的基本R-S触发器电路。所有这些现象已被解释与电路方程的解析解表征系统，最后的结果与相应的数值和实验分析进行了比较。
英文摘要：
We report the propagation of a square wave signal in a quasi-periodically driven Murali-Lakshmanan-Chua (QPDMLC) circuit system. It is observed that signal propagation is possible only above a certain threshold strength of the square wave or digital signal and all the values above the threshold amplitude are termed as 'region of signal propagation'. Then, we extend this region of signal propagation to perform various logical operations like AND/NAND/OR/NOR and hence it is also designated as the 'region of logical operation'. Based on this region, we propose implementing the dynamic logic gates, namely AND/NAND/OR/NOR, which can be decided by the asymmetrical input square waves without altering the system parameters. Further, we show that a single QPDMLC system will produce simultaneously two outputs which are complementary to each other. As a result, a single QPDMLC system yields either AND as well as NAND or OR as well as NOR gates simultaneously. Then we combine the corresponding two QPDMLC systems in a cross-coupled way and report that its dynamics mimics that of fundamental R-S flip-flop circuit. All these phenomena have been explained with analytical solutions of the circuit equations characterizing the system and finally the results are compared with the corresponding numerical and experimental analysis.
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