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
||MaCKiE-2015. Mathematics in (bio)Chemical Kinetics and Engineering. Book of Abstracts. July 2-3, 2015, Gent, Belgium.
Sobolev Institute of Mathematics, Novosibirsk 630090, Russia
School of Mathematics, The University of Edindurgh, Edinburgh, EH9 3FD, Scotland, UK
Boreskov Institute of Catalysis, Novosibirsk 630090, Russia
Novosibirsk State University, Novosibirsk 630090, Russia
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.