Gentili Pier Luigi, Giubila Maria Sole, Heron B Mark
Department of Chemistry, Biology and Biotechnology, University of Perugia, 06123, Perugia, Italy.
Department of Chemical and Biological Sciences, School of Applied Science, University of Huddersfield, Queensgate, Huddersfield, HD1 3DH, UK.
Chemphyschem. 2017 Jul 5;18(13):1831-1841. doi: 10.1002/cphc.201601443. Epub 2017 Mar 29.
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.
这项工作展示了一种基于光致变色萘并吡喃产生非周期性时间序列的流体动力光化学振荡器的计算能力。通过计算其最大Lyapunov指数并在通过Takens定理构建其相空间后计算其吸引子的关联维数，对时间序列的混沌特性进行了测试。然后，证明了混沌动力学适用于实现所有基本的布尔双输入单输出逻辑门。最后，描述了基于时间序列实现模糊逻辑系统（FLS）的策略。这种FLS有望在计算语言学领域发挥作用，该领域关注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。
