Nonlinear Dynamics of Mathematical Models of Catalytic Systems
Международная конференция «Дифференциальные уравнения и математическое моделирование»
22-27 Jun 2015
||International Conference “Differential Equations and Mathematical Modeling.” Abstracts / под ред. Д.ф.-м.н.А.И. Кожанова, к.ф.-м.н. Б.Б. Ощорова.
Изд-во ВСГУТУ. Улан-Удэ.2015.
Boreskov Institute of Catalysis SB RAS
Novosibirsk State University
Mathematical models of processes in the catalytic systems are characterized by non-linearity at all levels: chemical transformations on the catalyst surface, transfer processes on a single catalyst particle, heat and mass transfer in an elementary volume of a catalytic reactor, and processes in a technological scheme. We will present the results of studying the complex dynamics of kinetic models of small dimension (multiple steady states, bifurcation of periodic solutions, generation of aperiodic dynamics with change of a parameter). Also some limit models will be discussed which describe the performance modes of the catalytic fixed-bed reactors with periodic operation (in the case of a periodic control function having high frequency, i.e., the so-called "sliding" mode), as well as the models in which an asymptotic solution of the form of a "heat and concentration front" is formed in the case of a sufficiently long catalyst layer. In particular, in the latter case we discuss the question of approximation the problem on the infinite interval over the space-coordinate by the problem on an interval of finite length.