Processing Binary and Fuzzy Logic by Chaotic Time Series Generated by a Hydrodynamic Photochemical Oscillator

Abstract

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.

Control of chemical chaos through medium viscosity in a batch ferroin-catalysed Belousov–Zhabotinsky reaction

“…This strengthens the general validity of the proposed chemo-hydrodynamic mechanism in chemical oscillators as a source for self-sustained chaos and a means to control it. This approach can be further exploited for implementing fundamental Boolean two-inputs-one-output logic as in previous studies 36 and for Studying chaos synchronization in chemical systems.…”

“…Recently an externally forced RDC mechanism was also used to promote chaotic oscillations in a chemical system where a solution of a photochromic spiro-oxazine irradiated with UV light only at the bottom of the reactor develops convective motions combined with changes (switch between cis-and trans-) in the configuration of the spiro-oxazine. The resulting chaotic signals, recorded spectrophotometrically, were used to implement all the fundamental Boolean two-inputs-one-output logic gates 2,36 . In this paper we show how the cooperative interplay of an oscillatory kinetics and buoyancy-driven hydrodynamic instabilities can be exploited as a general pathway to initiate, in-situ, and control self-sustained chemical chaos.…”

The Fuzziness of the Molecular World and Its Perspectives

“…Even, the Belousov-Zhabotinsky reaction, carried out in oscillatory regime and in an open system [ 60 ], allows to implement all the fundamental fuzzy logic gates by using bromide and silver ions as chemical inputs and the period of the oscillations as outputs. Finally, the “hydrodynamic photochemical oscillator”, which is a thermally reversible photochromic compound combined with the convective motion of the solvent, is suitable to implement fuzzy logic systems when it works in chaotic regime [ 61 ]. All these examples show that fuzzy logic can be processed not only by conventional electronic circuits but also by unconventional chemical systems exhibiting analog input-output relationships in either the liquid or the solid phase.…”

In-materioneuromimetic devices: dynamics, information processing and pattern recognition

“…What's more, operation of Pt/HfO2/TiN memristive structure is based on electron trapping/detrapping which is generally faster and has lower power consumption in comparison to ionic diffusion mentioned vide supra. 155,156 157 The cell is illuminated at the bottom with a focused UV radiation (375 nm). Illumination induces two processes: (i) photoisomerization of colorless oxazine into colored merocyanine dye and (ii) heating of the acetone solution.…”