混沌逻辑门的灵敏度
Sensitivity of a Chaotic Logic Gate
摘要:
混沌逻辑门是设计通用计算机的一种很有前途的混合信号方法。然而,混沌系统对小扰动是指数敏感的,噪声的影响可能导致混沌计算机失败。在这里,我们研究了模拟混沌门对噪声和其他参数变化(如电源电压的差异)的敏感性。我们发现参数空间中对应于混沌动力学的区域与计算中的最大误差区域相吻合。此外,该误差在混沌映射的4-10次迭代内呈指数增长。因此,我们讨论了混沌计算的基本局限性,并提出了潜在的改进。我们的Python模拟方法是开源的,可在https://github.com/Noeloikeau/chaogate上获得。
英文摘要:
Chaotic logic gates or `chaogates' are a promising mixed-signal approach to designing universal computers. However, chaotic systems are exponentially sensitive to small perturbations, and the effects of noise can cause chaotic computers to fail. Here, we examine the sensitivity of a simulated chaogate to noise and other parameter variations (such as differences in supply voltage). We find that the regions in parameter space corresponding to chaotic dynamics coincide with the regions of maximum error in the computation. Further, this error grows exponentially within 4-10 iterations of the chaotic map. As such, we discuss the fundamental limitations of chaotic computing, and suggest potential improvements. Our Python simulation methods are open-source and available at https://github.com/Noeloikeau/chaogate.
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