Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables - Conference attendances | Sciact - CRIS-system of Boreskov Institute of Catalysis

Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables Conference attendances

Language

Английский

Participant type

Устный

Conference

9th International Conference on Mathematics in (bio)Chemical Kinetics and Engineering (MaCKiE-2015)
02-03 Jul 2015 , Ghent

Authors

Chumakov Gennadij Aleksandrovich ^1,4 , Chumakova Lyubov G. ² , Chumakova Nataliya Alekseevna ^3,4

Affiliations

1	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
2	The University of Edinburgh
3	Boreskov Institute of Catalysis SB RAS
4	Novosibirsk National Research University

We study a scheme that allows us to generate homoclinic chaos in the three-dimensional system with fast, intermediate, and slow variables. For generation of the chaotic dynamics we find the parameters of the model under which the system exhibits a Feigenbaum cascade of period-doubling bifurcations. Numerical simulations are used to demonstrate the different types of periodic and chaotic behavior predicted by the model. In particular, as some parameter is varied, the subharmonic period-doubling cascade leads to generation of a global attractor in the system.

Chumakov G.A. , Chumakova L.G. , Chumakova N.A.
Modeling the Chaotic Dynamics of Heterogeneous Catalytic Reactions with Fast, Intermediate, and Slow Variables
9th International Conference on Mathematics in (bio)Chemical Kinetics and Engineering (MaCKiE-2015) 02-03 Jul 2015