Processing Binary and Fuzzy Logic by Chaotic Time Series Generated by a Hydrodynamic Photochemical Oscillator
Processing Binary and Fuzzy Logic by Chaotic Time Series Generated by a Hydrodynamic Photochemical Oscillator
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DOI：
10.1002/cphc.201601443
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发表时间：
2017-07-05
期刊：
影响因子：
2.9
通讯作者：
Heron, B. Mark
中科院分区：
文献类型：
--
作者：
Gentili, Pier Luigi;Giubila, Maria Sole;Heron, B. Mark
这项工作证明了基于光致变色萘吡喃的流体动力光化学振荡器产生非周期时间序列的计算能力。利用Takens定理建立相空间后，通过计算时间序列的最大Lyapunov指数和吸引子的相关维数来检验时间序列的混沌特性。然后，证明了混沌动力学适用于实现所有基本的布尔二输入一输出逻辑门。最后，介绍了基于时间序列的模糊逻辑系统的实现策略。此类FLSs有望在计算语言学领域发挥作用，该领域涉及能够将数值数据集合转换为自然语言文本的人工智能系统的开发。
This work demonstrates the computational power of a hydrodynamic photochemical oscillator based on a photochromic naphthopyran generating aperiodic time series. The chaotic character of the time series is tested by calculating its largest Lyapunov exponent and the correlation dimension of its attractor after building its phase space through the Takens' theorem. Then, the chaotic dynamic is shown to be suitable to implement all the fundamental Boolean two-inputs-one-output logic gates. Finally, the strategy to implement fuzzy logic systems (FLSs) based on the time series is described. Such FLSs promise to be useful in the field of computational linguistics, which is concerned with the development of artificial intelligent systems able to transform collections of numerical data into natural language texts.