Processing Binary and Fuzzy Logic by Chaotic Time Series Generated by a Hydrodynamic Photochemical Oscillator.
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.
Department of Chemistry, Biology and Biotechnology, University of Perugia, 06123, Perugia, Italy.
Pier Luigi
http://orcid.org/0000-0003-1092-9190
PL
Gentili
Department of Chemistry, Biology and Biotechnology, University of Perugia, 06123, Perugia, Italy.
Maria Sole
http://orcid.org/0000-0003-3205-142X
MS
Giubila
Department of Chemical and Biological Sciences, School of Applied Science, University of Huddersfield, Queensgate, Huddersfield, HD1 3DH, UK.
B Mark
http://orcid.org/0000-0002-2675-1369
BM
Heron
D017143:Fuzzy Logic; D057446:Hydrodynamics; D015394:Molecular Structure; D009025:Morpholines / Q000737:chemistry*; D009281:Naphthalenes / Q000737:chemistry*; D055668:Photochemical Processes; D013997:Time Factors
D009025:Morpholines; D009281:Naphthalenes
binary logic; chaos computing; fuzzy logic; photochemistry; photochromism