Nonlinear Dynamics of Mathematical Models of Catalytic Systems
Conference attendances
Language 
Английский 
Participant type 
Oral 
Conference 
Международная конференция «Дифференциальные уравнения и математическое моделирование»
2227 Jun 2015
,
ConferenceType.RUSSIAN_CONFERENCE, УланУдэ, Байкал

Authors 
Chumakova Nataliya Alekseevna
, Noskov Aleksandr Stepanovich

Affiliations 
1 
Boreskov Institute of Catalysis SB RAS

2 
Novosibirsk State University


Mathematical models of processes in the catalytic systems are characterized by nonlinearity 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 fixedbed reactors with periodic operation (in the case of a periodic control function having high frequency, i.e., the socalled "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 spacecoordinate by the problem on an interval of finite length.