Deshaka S, Sathish Aravindh M, Arun R, Venkatesan A, Lakshmanan M
PG & Research Department of Physics, Nehru Memorial College (Autonomous), Affiliated to Bharathidasan University, Puthanampatti, Tiruchirappalli 621 007, India.
Department of Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli 620 024, India.
Chaos. 2024 Aug 1;34(8). doi: 10.1063/5.0217881.
Implementation of logic gates has been investigated in nonlinear dynamical systems from various perspectives over the years. Specifically, logic gates have been implemented in both single nonlinear systems and coupled nonlinear oscillators. The majority of the works in the literature have been done on the evolution of single oscillators into OR/AND or NOR/NAND logic gates. In the present study, we demonstrate the design of logic gates in bi-directionally coupled double-well Duffing oscillators by applying two logic inputs to the drive system alone along with a fixed bias. The nonlinear system, comprising both bi-directional components, exhibits varied logic behaviors within an optimal range of coupling strength. Both attractive and repulsive couplings yield similar and complementary logic behaviors in the first and second oscillators. These couplings play a major role in exhibiting fundamental and universal logic gates in simple nonlinear systems. Under a positive bias, both the first and second oscillators demonstrate OR logic gate for the attractive coupling, while exhibiting OR and NOR logic gates, respectively, for the repulsive coupling. Conversely, under a negative bias, both the first and second oscillators display AND logic gate for the attractive coupling, and AND and NAND logical outputs for the repulsive coupling. Furthermore, we confirm the robustness of the bi-directional oscillators against moderate noise in maintaining the desired logical outputs.
多年来，人们从各种角度对非线性动力系统中逻辑门的实现进行了研究。具体而言，逻辑门已在单个非线性系统和耦合非线性振荡器中得以实现。文献中的大多数工作都是关于单个振荡器演变成或/与或或非/与非逻辑门的研究。在本研究中，我们通过仅向驱动系统施加两个逻辑输入以及一个固定偏置，展示了双向耦合双阱杜芬振荡器中逻辑门的设计。这个包含双向组件的非线性系统，在耦合强度的最佳范围内呈现出多样的逻辑行为。吸引耦合和排斥耦合在第一个和第二个振荡器中产生相似且互补的逻辑行为。这些耦合在简单非线性系统中展现基本和通用逻辑门方面发挥着重要作用。在正偏置下，第一个和第二个振荡器对于吸引耦合均展示或逻辑门，而对于排斥耦合分别展示或和或非逻辑门。相反，在负偏置下，第一个和第二个振荡器对于吸引耦合均显示与逻辑门，对于排斥耦合显示与和与非逻辑输出。此外，我们证实了双向振荡器在保持所需逻辑输出方面对适度噪声的鲁棒性。
