Cobalt (III) Oxyhydroxide as a Pyrrole Polymerization Initiator: a Theoretical Study

In this work, the possibility of using cobalt (III) oxyhydroxide as an electropolymerization initiator for pyrrole is studied by theoretical means. A hybrid material may be yielded by this synthesis. The mathematical model has been developed and analyzed using linear stability theory and bifurcation analysis: the steady-state stability requisites, correspondent to the synthesis efficiency, were obtained. The general causes for oscillatory and monotonic instabilities have also been detected.

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The mathematical stability study for the system of the CoO(OH) – overoxidized polypyrrole composite synthesis in the presence of fluor ions

Mongolian Journal of Chemistry ◽

10.5564/mjc.v16i0.663 ◽

2016 ◽

Vol 16 ◽

pp. 13-17

Author(s):

V. Tkach ◽

S.C. De Oliveira ◽

R. Ojani ◽

P.I. Yagodynets ◽

U. Páramo-García

Keyword(s):

Mathematical Model ◽

Steady State ◽

Bifurcation Analysis ◽

Stability Theory ◽

Stability Study ◽

Linear Stability Theory ◽

Monotonic Instability ◽

Overoxidized Polypyrrole ◽

Polypyrrole Composite ◽

Steady State Stability

The potentiostatic synthesis of CoO(OH) – Overoxidized polypyrrole composite in the presence of fluor ions has been investigated mathematically. The corresponding mathematical model was described and analyzed by means of linear stability theory and bifurcation analysis. The steady-state stability requirements, like also oscillatory and monotonic instability conditions are derived.Mongolian Journal of Chemistry 16 (42), 2015, 13-17

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Economical and Green Acetaldehyde to Glyoxal Electroorganic Conversion: a Theoretical Study

Biointerface Research in Applied Chemistry ◽

10.33263/briac112.93059310 ◽

2020 ◽

Vol 11 (2) ◽

pp. 9305-9310

Keyword(s):

Mathematical Model ◽

Electrochemical Oxidation ◽

Linear Stability ◽

Bifurcation Analysis ◽

Industrial Production ◽

Stability Theory ◽

Theoretical Study ◽

Oscillatory Behavior ◽

Linear Stability Theory ◽

Green Method

An interesting electro organic economic and green method of acetaldehyde to glyoxal conversion, based on electrochemical oxidation over a selenite-doped conducting polymer, has been described theoretically. A mathematical model, correspondent to the process, has been developed and analyzed by means of the linear stability theory and bifurcation analysis. The model analysis has confirmed the efficiency of the model for glyoxal laboratory and industrial production by the electrocatalytic method. Although the oscillatory behavior is possible in this system, it won´t influence the glyoxal yield strongly.

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Theoretical Aspects of the Electropolymerization of Some Hydroquinonic Derivatives

Biointerface Research in Applied Chemistry ◽

10.33263/briac111.79948000 ◽

2020 ◽

Vol 11 (1) ◽

pp. 7994-8000

Keyword(s):

Mathematical Model ◽

Linear Stability ◽

Organic Synthesis ◽

Bifurcation Analysis ◽

Electrochemical Synthesis ◽

Stability Theory ◽

Suzuki Reaction ◽

Linear Stability Theory ◽

Monotonic Instability ◽

First Time

For the first time, the possibility of the electrochemical synthesis and polymerization of some novel modified naphthoquinone compounds has been described. The correspondent mathematical model has been analyzed by means of linear stability theory and bifurcation analysis. It has been shown that the electro organic synthesis may serve as an interesting substitution for Suzuki reaction for the synthesis of ferrocenyl naphthoquinone and its polymer. The oscillatory and monotonic instability, in this case, will be more probable than in the general electropolymerization case.

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Theoretical Description for an Efficient Rhenium Electrocatalytical Recuperation by Polypyrrole Overoxidation

Letters in Applied NanoBioScience ◽

10.33263/lianbs103.23962401 ◽

2021 ◽

Vol 10 (3) ◽

pp. 2396-2401

Keyword(s):

Mathematical Model ◽

Linear Stability ◽

Bifurcation Analysis ◽

Stability Theory ◽

Theoretical Description ◽

Oscillatory Instability ◽

The Other ◽

Linear Stability Theory ◽

Other Hand

An interesting process for rhenium recuperation during the polypyrrole overoxidation has been theoretically described. The correspondent mathematical model has been developed and analyzed using linear stability theory and bifurcation analysis. The model's analysis confirms the possibility for the efficient rhenium ion capture by polypyrrole overoxidation, yielding a long-living electrocatalytic material. On the other hand, oscillatory instability is also possible in both stages.

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Theoretical Description for Sucralose Cathodical Electrochemical Determination on the Conducting Polymer, Containing Pyridinic Nitrogen Atoms

Biointerface Research in Applied Chemistry ◽

10.33263/briac122.14991506 ◽

2021 ◽

Vol 12 (2) ◽

pp. 1499-1506

Keyword(s):

Mathematical Model ◽

Linear Stability ◽

Conducting Polymer ◽

Bifurcation Analysis ◽

Stability Theory ◽

Electrochemical Determination ◽

Theoretical Description ◽

Oscillatory Behavior ◽

Linear Stability Theory ◽

Pyridinic Nitrogen

A novel process for sucralose cathodically electrochemical determination has been suggested. In this process, the conducting polymer with pyridinic nitrogen atoms reacts specifically with sucralose, yielding a salt. This salt is thereby reduced gradually, yielding a less conducting macromolecule. The analysis of the correspondent mathematical model, realized through the linear stability theory and bifurcation analysis, shows that the oscillatory behavior is more probable to be realized due to charge changes and rearrangements during the electroanalytical process its influence on the surface and DEL conductivity. Nevertheless, this process may be efficient for the sucralose electrochemical determination.

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Theoretical Evaluation for the Assisted Electropolymerization of a Monomer, Obtained by an Indirect Electrochemical Synthesis

Letters in Applied NanoBioScience ◽

10.33263/lianbs112.36053610 ◽

2021 ◽

Vol 11 (2) ◽

pp. 3605-3610

Keyword(s):

Mathematical Model ◽

Reaction Mechanism ◽

Linear Stability ◽

Bifurcation Analysis ◽

Electrochemical Synthesis ◽

Stability Theory ◽

Linear Stability Theory ◽

Anodic Process ◽

Theoretical Evaluation ◽

Polymer Deposition

In this work, the possibility for indirect electropolymerization of a monomer synthesized by an indirect electrosynthesis has been evaluated. Based on the reaction mechanism, the correspondent mathematical model has been developed and analyzed using linear stability theory and bifurcation analysis. It has been shown that in the case of indirect monomer electrosynthesis and electropolymerization, the polymer deposition is far more stable than for direct participation of the monomer in the electrochemical stage. The surface tends to be more developed. Yet, the electrochemical oscillations are expected to be less probable than in the case of the direct anodic process.

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New “Full-Bridge Buck Inverter–DC Motor” System: Steady-State and Dynamic Analysis and Experimental Validation

Electronics ◽

10.3390/electronics8111216 ◽

2019 ◽

Vol 8 (11) ◽

pp. 1216 ◽

Cited By ~ 2

Author(s):

Eduardo Hernández-Márquez ◽

Carlos Alejandro Avila-Rea ◽

José Rafael García-Sánchez ◽

Ramón Silva-Ortigoza ◽

Magdalena Marciano-Melchor ◽

...

Keyword(s):

Mathematical Model ◽

Steady State ◽

Motor System ◽

Circuit Simulation ◽

Dc Motor ◽

Matlab Simulink ◽

Duty Cycles ◽

System Variables ◽

The Mathematical Model ◽

Steady State Stability

A mathematical model of a new “full-bridge Buck inverter–DC motor” system is developed and experimentally validated. First, using circuit theory and the mathematical model of a DC motor, the dynamic behavior of the system under study is deduced. Later, the steady-state, stability, controllability, and flatness properties of the deduced model are described. The flatness property, associated with the mathematical model, is then exploited so that all system variables and the input can be differentially parameterized in terms of the flat output, which is determined by the angular velocity. Then, when a desired trajectory is proposed for the flat output, the input signal is calculated offline and is introduced into the system. In consequence, the validation of the mathematical model for constant and time-varying duty cycles is possible. Such a validation of this mathematical model is tackled from two directions: (1) by circuit simulation through the SimPowerSystems toolbox of Matlab-Simulink and (2) via a prototype of the system built by using Matlab-Simulink and a DS1104 board. The good similarities between the circuit simulation and the experimental results allow satisfactorily validating the mathematical model.

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Theoretical Description for Ellagic Acid Electrochemical Oxidation and Electropolymerization

Letters in Applied NanoBioScience ◽

10.33263/lianbs113.36723677 ◽

2021 ◽

Vol 11 (3) ◽

pp. 3672-3677

Keyword(s):

Mathematical Model ◽

Electrochemical Oxidation ◽

Bifurcation Analysis ◽

Ellagic Acid ◽

Stability Theory ◽

Polymer Coating ◽

Theoretical Description ◽

Oscillatory Behavior ◽

Oxidation Products ◽

Linear Stability Theory

The theoretical description for ellagic acid electrochemical oxidation and electropolymerization has been suggested in this paper. The model includes the electropolymerization of ellagic acid in the presence of two of its low-molecular oxidation products. The correspondent mathematical model has been developed and analyzed using linear stability theory and bifurcation analysis. The analysis of the system has confirmed that the oscillatory behavior is more probable than in the simplest case of the electrosynthesis of the polymer of the electrochemically synthesized monomer. Nevertheless, the system is electrosynthetically efficient, yielding a polymer coating.

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The Mathematical Modeling for CoO(OH) – Poly(5-Amino-1,4-Naphthoquinone) Composite-Based Sensor for 1-Propenesulfenic Acid and Propanethial S-Oxide Detection in Food and Lacrimogenic Compositions

Biointerface Research in Applied Chemistry ◽

10.33263/briac114.1114511150 ◽

2020 ◽

Vol 11 (4) ◽

pp. 11145-11150

Keyword(s):

Mathematical Modeling ◽

Linear Stability ◽

Bifurcation Analysis ◽

Stability Theory ◽

Double Electric Layer ◽

Theoretical Description ◽

Linear Stability Theory ◽

Acid Oxidation ◽

Sulfenic Acid ◽

Monotonic Instability

The theoretical description for 1-propenesulfenic acid and its isomer propanethial-S-oxide, substances, responsible for leek lacrimogenic activity, has been described theoretically. The process is realized anodically over a poly(naphthoquinone) – CoO(OH) composite. A model has been developed and analyzed using linear stability theory and bifurcation analysis. According to the model analysis, the ionic compound's transformation during the sulfenic acid oxidation may be responsible for the oscillatory and monotonic instability alongside the double electric layer (DEL) influences of the electrochemical stage. Nevertheless, the model's analysis shows that the electroanalytical process is efficient for determining both of the analytes.

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Theoretical Description for Anti-COVID-19 Drug Remdesivir Electrochemical Determination, Assisted by Squaraine Dye–Ag2O2 Composite

Biointerface Research in Applied Chemistry ◽

10.33263/briac112.92019208 ◽

2020 ◽

Vol 11 (2) ◽

pp. 9201-9208

Keyword(s):

Mathematical Model ◽

Bifurcation Analysis ◽

Stability Theory ◽

Electrochemical Determination ◽

Theoretical Description ◽

Linear Stability Theory ◽

Anodic Process ◽

Squaraine Dye ◽

First Time ◽

Mathematical Model Analysis

For the first time, the remdesivir anti-COVID-19 drug electrochemical determination has been evaluated theoretically. In this work, an anodic process involving the Squaraine Dye – Ag2O2 composite has been evaluated. The mechanism of the electroanalytical process is branched, which implies relatively dynamic behavior. Nevertheless, the correspondent mathematical model analysis, made by linear stability theory and bifurcation analysis, confirms the composite electroanalytical efficiency as an electrode modifier.

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