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Chemical instabilities during oxidation of 1,4-naphthalenediol in a homogeneous medium: II. Thermodynamic analysis and mathematical modeling
Authors:U. G. Magomedbekov  Kh. M. Gasanova  U. G. Gasangadzhieva  K. A. Abdulkhamidov  S. Sh. Mutsalova
Affiliation:(1) Department of General and Inorganic Chemistry, Dagestan State University, ul. M. Gadzhieva 43a, Makhachkala, 367025, Dagestan, Russia
Abstract:A possible mechanism of 1,4-naphthalenediol oxidation in the oscillatory regime has been considered, and a mathematical model describing the kinetics has been developed. Based on a thermodynamic Lyapunov function, it has been shown that the source of chemical instabilities is in the existence of autocatalytic steps and dynamic feedbacks. Qualitative analysis and numerical solution of the set of differential equations that model the reaction kinetics have been performed. The character of the stationary state and the possibility of bifurcations have been determined. The mathematical model satisfactorily describes the processes occurring in the system.
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